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6940000256 = 21973161
BaseRepresentation
bin1100111011010100…
…00000000000000000
3122220122211112121112
412131222000000000
5103203120002011
63104352142452
7333660012620
oct63552000000
918818745545
106940000256
112a414a3a02
121418237a28
13867a59137
1449b9bc880
152a941658b
hex19da80000

6940000256 has 160 divisors (see below), whose sum is σ = 16642982400. Its totient is φ = 2831155200.

The previous prime is 6940000189. The next prime is 6940000261. The reversal of 6940000256 is 6520000496.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113770466 + ... + 113770526.

It is an arithmetic number, because the mean of its divisors is an integer number (104018640).

Almost surely, 26940000256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321491200).

6940000256 is an abundant number, since it is smaller than the sum of its proper divisors (9702982144).

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

6940000256 is an frugal number, since it uses more digits than its factorization.

6940000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 6940000256 is about 83306.6639351259. The cubic root of 6940000256 is about 1907.4499980079.

The spelling of 6940000256 in words is "six billion, nine hundred forty million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 56 61 62 64 112 122 124 128 217 224 244 248 256 427 434 448 488 496 512 854 868 896 976 992 1024 1708 1736 1792 1891 1952 1984 2048 3416 3472 3584 3782 3904 3968 4096 6832 6944 7168 7564 7808 7936 8192 13237 13664 13888 14336 15128 15616 15872 16384 26474 27328 27776 28672 30256 31232 31744 32768 52948 54656 55552 57344 60512 62464 63488 65536 105896 109312 111104 114688 121024 124928 126976 131072 211792 218624 222208 229376 242048 249856 253952 262144 423584 437248 444416 458752 484096 499712 507904 524288 847168 874496 888832 917504 968192 999424 1015808 1694336 1748992 1777664 1835008 1936384 1998848 2031616 3388672 3497984 3555328 3670016 3872768 3997696 4063232 6777344 6995968 7110656 7745536 7995392 8126464 13554688 13991936 14221312 15491072 15990784 16252928 27109376 27983872 28442624 30982144 31981568 54218752 55967744 56885248 61964288 108437504 111935488 113770496 123928576 216875008 223870976 247857152 433750016 495714304 867500032 991428608 1735000064 3470000128 6940000256