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1056700656 = 2432111935111
BaseRepresentation
bin111110111110111…
…111100011110000
32201122100221210100
4332332333203300
54131003410111
6252504432400
735120543634
oct7676774360
92648327710
101056700656
114a2530930
12255a78700
1313ac0047b
14a04aadc4
1562b81756
hex3efbf8f0

1056700656 has 120 divisors (see below), whose sum is σ = 3396032640. Its totient is φ = 303350400.

The previous prime is 1056700643. The next prime is 1056700741. The reversal of 1056700656 is 6560076501.

It is a happy number.

It is a super-2 number, since 2×10567006562 = 2233232552781660672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1056700656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12541 + ... + 47651.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 21056700656 is an apocalyptic number.

1056700656 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 1056700656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

1056700656 is an abundant number, since it is smaller than the sum of its proper divisors (2339331984).

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

1056700656 is a wasteful number, since it uses less digits than its factorization.

1056700656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35155 (or 35146 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1056700656 is about 32506.9324298679. The cubic root of 1056700656 is about 1018.5538444974.

The spelling of 1056700656 in words is "one billion, fifty-six million, seven hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 35111 70222 105333 140444 210666 280888 315999 386221 421332 561776 631998 667109 772442 842664 1158663 1263996 1334218 1544884 1685328 2001327 2317326 2527992 2668436 3089768 3475989 4002654 4634652 5055984 5336872 6003981 6179536 6951978 7338199 8005308 9269304 10673744 12007962 13903956 14676398 16010616 18538608 22014597 24015924 27807912 29352796 32021232 44029194 48031848 55615824 58705592 66043791 88058388 96063696 117411184 132087582 176116776 264175164 352233552 528350328 1056700656