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3990627840 = 2935598807
BaseRepresentation
bin1110110111011100…
…0010011000000000
3101022010001220021010
43231313002120000
531133100042330
61455553000520
7200614530333
oct35567023000
911263056233
103990627840
111768672841
12934553140
134b79bc864
1429bdd461a
151855233b0
hexeddc2600

3990627840 has 160 divisors (see below), whose sum is σ = 12975240960. Its totient is φ = 1046011904.

The previous prime is 3990627827. The next prime is 3990627841. The reversal of 3990627840 is 487260993.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×39906278402 = 31850221114766131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3990627840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990627841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448717 + ... + 457523.

It is an arithmetic number, because the mean of its divisors is an integer number (81095256).

Almost surely, 23990627840 is an apocalyptic number.

3990627840 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 3990627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487620480).

3990627840 is an abundant number, since it is smaller than the sum of its proper divisors (8984613120).

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

3990627840 is an equidigital number, since it uses as much as digits as its factorization.

3990627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3990627840 is about 63171.4163209913. The cubic root of 3990627840 is about 1586.1603010331.

The spelling of 3990627840 in words is "three billion, nine hundred ninety million, six hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 885 944 960 1180 1280 1416 1536 1770 1888 1920 2360 2560 2832 3540 3776 3840 4720 5664 7080 7552 7680 8807 9440 11328 14160 15104 17614 18880 22656 26421 28320 30208 35228 37760 44035 45312 52842 56640 70456 75520 88070 90624 105684 113280 132105 140912 151040 176140 211368 226560 264210 281824 352280 422736 453120 519613 528420 563648 704560 845472 1039226 1056840 1127296 1409120 1558839 1690944 2078452 2113680 2254592 2598065 2818240 3117678 3381888 4156904 4227360 4509184 5196130 5636480 6235356 6763776 7794195 8313808 8454720 10392260 11272960 12470712 13527552 15588390 16627616 16909440 20784520 22545920 24941424 31176780 33255232 33818880 41569040 49882848 62353560 66510464 67637760 83138080 99765696 124707120 133020928 166276160 199531392 249414240 266041856 332552320 399062784 498828480 665104640 798125568 997656960 1330209280 1995313920 3990627840