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1056212656 = 24313767859
BaseRepresentation
bin111110111101001…
…000011010110000
32201121110011101021
4332331020122300
54130342301111
6252450145224
735113442122
oct7675103260
92647404337
101056212656
114a2228224
12255882214
1313aa8c305
14a03c1212
1562ad6d71
hex3ef486b0

1056212656 has 80 divisors (see below), whose sum is σ = 2204462080. Its totient is φ = 489265920.

The previous prime is 1056212639. The next prime is 1056212657. The reversal of 1056212656 is 6562126501.

It is a super-2 number, since 2×10562126562 = 2231170349389148672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056212657) 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, 1229155 + ... + 1230013.

It is an arithmetic number, because the mean of its divisors is an integer number (27555776).

Almost surely, 21056212656 is an apocalyptic number.

1056212656 is a gapful number since it is divisible by the number (16) 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 1056212656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102231040).

1056212656 is an abundant number, since it is smaller than the sum of its proper divisors (1148249424).

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

1056212656 is a wasteful number, since it uses less digits than its factorization.

1056212656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1056212656 is about 32499.4254718449. The cubic root of 1056212656 is about 1018.3970259419.

The spelling of 1056212656 in words is "one billion, fifty-six million, two hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 37 62 67 74 124 134 148 248 268 296 496 536 592 859 1072 1147 1718 2077 2294 2479 3436 4154 4588 4958 6872 8308 9176 9916 13744 16616 18352 19832 26629 31783 33232 39664 53258 57553 63566 76849 106516 115106 127132 153698 213032 230212 254264 307396 426064 460424 508528 614792 920848 985273 1229584 1784143 1970546 2129461 3568286 3941092 4258922 7136572 7882184 8517844 14273144 15764368 17035688 28546288 34071376 66013291 132026582 264053164 528106328 1056212656