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10640032 = 251325577
BaseRepresentation
bin101000100101…
…101010100000
3202000120101021
4220211222200
510210440112
61020015224
7156303334
oct50455240
922016337
1010640032
116008017
123691514
132286ca0
1415ad7c4
15e02907
hexa25aa0

10640032 has 24 divisors (see below), whose sum is σ = 22559796. Its totient is φ = 4910592.

The previous prime is 10640029. The next prime is 10640051. The reversal of 10640032 is 23004601.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 2322576 = 2884^2 + 1524^2 .

It is a super-2 number, since 2×106400322 = 226420561922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10639988 and 10640015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12373 + ... + 13204.

Almost surely, 210640032 is an apocalyptic number.

It is an amenable number.

10640032 is an abundant number, since it is smaller than the sum of its proper divisors (11919764).

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

10640032 is a wasteful number, since it uses less digits than its factorization.

10640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25600 (or 25592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10640032 is about 3261.9061911710. The cubic root of 10640032 is about 219.9451102732.

Adding to 10640032 its reverse (23004601), we get a palindrome (33644633).

The spelling of 10640032 in words is "ten million, six hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 25577 51154 102308 204616 332501 409232 665002 818464 1330004 2660008 5320016 10640032