Search a number
-
+
1057953696 = 25364717033
BaseRepresentation
bin111111000011110…
…001011110100000
32201201201121122020
4333003301132200
54131314004241
6252551341440
735134313052
oct7703613640
92651647566
101057953696
114a32072a8
12256381880
1313b24b907
14a07158d2
1562d2cb66
hex3f0f17a0

1057953696 has 48 divisors (see below), whose sum is σ = 2781584064. Its totient is φ = 352085504.

The previous prime is 1057953671. The next prime is 1057953731. The reversal of 1057953696 is 6963597501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10579536962 = 2238532045760120832, which contains 22 as substring.

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, 53596 + ... + 70628.

It is an arithmetic number, because the mean of its divisors is an integer number (57949668).

Almost surely, 21057953696 is an apocalyptic number.

1057953696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057953696 is an abundant number, since it is smaller than the sum of its proper divisors (1723630368).

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

1057953696 is a wasteful number, since it uses less digits than its factorization.

1057953696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17693 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The square root of 1057953696 is about 32526.2001469585. The cubic root of 1057953696 is about 1018.9562872510.

The spelling of 1057953696 in words is "one billion, fifty-seven million, nine hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 647 1294 1941 2588 3882 5176 7764 10352 15528 17033 20704 31056 34066 51099 62112 68132 102198 136264 204396 272528 408792 545056 817584 1635168 11020351 22040702 33061053 44081404 66122106 88162808 132244212 176325616 264488424 352651232 528976848 1057953696