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2700814320 = 243354130497
BaseRepresentation
bin1010000011111011…
…0010011111110000
320222020001120202000
42200332302133300
521012402024240
61123555454000
7123633354141
oct24076623760
96866046660
102700814320
1111665a2856
126345b7300
133407102a9
141b89a5ac8
1510c196430
hexa0fb27f0

2700814320 has 160 divisors (see below), whose sum is σ = 9530015040. Its totient is φ = 702627840.

The previous prime is 2700814313. The next prime is 2700814339. The reversal of 2700814320 is 234180072.

It is a super-2 number, since 2×27008143202 = 14588795982234124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73312 + ... + 103808.

It is an arithmetic number, because the mean of its divisors is an integer number (59562594).

Almost surely, 22700814320 is an apocalyptic number.

2700814320 is a gapful number since it is divisible by the number (20) 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 2700814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765007520).

2700814320 is an abundant number, since it is smaller than the sum of its proper divisors (6829200720).

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

2700814320 is a wasteful number, since it uses less digits than its factorization.

2700814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30560 (or 30548 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2700814320 is about 51969.3594341897. The cubic root of 2700814320 is about 1392.6166263317.

Adding to 2700814320 its reverse (234180072), we get a palindrome (2934994392).

It can be divided in two parts, 27008 and 14320, that added together give a triangular number (41328 = T287).

The spelling of 2700814320 in words is "two billion, seven hundred million, eight hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1845 1968 2160 2214 2460 2952 3280 3690 4428 4920 5535 5904 7380 8856 9840 11070 14760 17712 22140 29520 30497 44280 60994 88560 91491 121988 152485 182982 243976 274473 304970 365964 457455 487952 548946 609940 731928 823419 914910 1097892 1219880 1250377 1372365 1463856 1646838 1829820 2195784 2439760 2500754 2744730 3293676 3659640 3751131 4117095 4391568 5001508 5489460 6251885 6587352 7319280 7502262 8234190 10003016 10978920 11253393 12503770 13174704 15004524 16468380 18755655 20006032 21957840 22506786 25007540 30009048 32936760 33760179 37511310 45013572 50015080 56266965 60018096 65873520 67520358 75022620 90027144 100030160 112533930 135040716 150045240 168800895 180054288 225067860 270081432 300090480 337601790 450135720 540162864 675203580 900271440 1350407160 2700814320