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3965680080 = 243355093607
BaseRepresentation
bin1110110001011111…
…0111100111010000
3101020101010102101000
43230113313213100
531110203230310
61453302142000
7200162503335
oct35427674720
911211112330
103965680080
11175558315a
12928121900
134b279637b
1429897c98c
151832464c0
hexec5f79d0

3965680080 has 160 divisors (see below), whose sum is σ = 13690195200. Its totient is φ = 1055144448.

The previous prime is 3965680073. The next prime is 3965680087. The reversal of 3965680080 is 800865693.

3965680080 is a `hidden beast` number, since 3 + 9 + 6 + 568 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3965680073) and next prime (3965680087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965680087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097637 + ... + 1101243.

It is an arithmetic number, because the mean of its divisors is an integer number (85563720).

Almost surely, 23965680080 is an apocalyptic number.

3965680080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845097600).

3965680080 is an abundant number, since it is smaller than the sum of its proper divisors (9724515120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3965680080 is a wasteful number, since it uses less digits than its factorization.

3965680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3965680080 is about 62973.6459163673. The cubic root of 3965680080 is about 1582.8480490494.

The spelling of 3965680080 in words is "three billion, nine hundred sixty-five million, six hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 509 540 720 1018 1080 1527 2036 2160 2545 3054 3607 4072 4581 5090 6108 7214 7635 8144 9162 10180 10821 12216 13743 14428 15270 18035 18324 20360 21642 22905 24432 27486 28856 30540 32463 36070 36648 40720 43284 45810 54105 54972 57712 61080 64926 68715 72140 73296 86568 91620 97389 108210 109944 122160 129852 137430 144280 162315 173136 183240 194778 216420 219888 259704 274860 288560 324630 366480 389556 432840 486945 519408 549720 649260 779112 865680 973890 1099440 1298520 1558224 1835963 1947780 2597040 3671926 3895560 5507889 7343852 7791120 9179815 11015778 14687704 16523667 18359630 22031556 27539445 29375408 33047334 36719260 44063112 49571001 55078890 66094668 73438520 82618335 88126224 99142002 110157780 132189336 146877040 165236670 198284004 220315560 247855005 264378672 330473340 396568008 440631120 495710010 660946680 793136016 991420020 1321893360 1982840040 3965680080