Search a number
-
+
1057496264 = 231112017003
BaseRepresentation
bin111111000010000…
…001110011001000
32201200212101011022
4333002001303020
54131204340024
6252533452012
735130366326
oct7702016310
92650771138
101057496264
114a2a24660
122561a1008
1313b11b646
14a0636d16
1562c8c35e
hex3f081cc8

1057496264 has 16 divisors (see below), whose sum is σ = 2163060720. Its totient is φ = 480680080.

The previous prime is 1057496263. The next prime is 1057496299. The reversal of 1057496264 is 4626947501.

It is a super-2 number, since 2×10574962642 = 2236596696747915392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1057496261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6008414 + ... + 6008589.

It is an arithmetic number, because the mean of its divisors is an integer number (135191295).

Almost surely, 21057496264 is an apocalyptic number.

It is an amenable number.

1057496264 is an abundant number, since it is smaller than the sum of its proper divisors (1105564456).

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

1057496264 is a wasteful number, since it uses less digits than its factorization.

1057496264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017020 (or 12017016 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 1057496264 is about 32519.1676400242. The cubic root of 1057496264 is about 1018.8094092395.

The spelling of 1057496264 in words is "one billion, fifty-seven million, four hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 12017003 24034006 48068012 96136024 132187033 264374066 528748132 1057496264