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10680032 = 251130341
BaseRepresentation
bin101000101111…
…011011100000
3202002121020202
4220233123200
510213230112
61020524332
7156531056
oct50573340
922077222
1010680032
116035080
1236b06a8
13229c25c
1415c01d6
15e0e6c2
hexa2f6e0

10680032 has 24 divisors (see below), whose sum is σ = 22938552. Its totient is φ = 4854400.

The previous prime is 10680031. The next prime is 10680053. The reversal of 10680032 is 23008601.

10680032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106800322 = 228126167042048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10679986 and 10680013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14819 + ... + 15522.

It is an arithmetic number, because the mean of its divisors is an integer number (955773).

Almost surely, 210680032 is an apocalyptic number.

It is an amenable number.

10680032 is an abundant number, since it is smaller than the sum of its proper divisors (12258520).

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

10680032 is a wasteful number, since it uses less digits than its factorization.

10680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362 (or 30354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10680032 is about 3268.0318235905. The cubic root of 10680032 is about 220.2203852158.

Adding to 10680032 its reverse (23008601), we get a palindrome (33688633).

The spelling of 10680032 in words is "ten million, six hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 30341 60682 121364 242728 333751 485456 667502 970912 1335004 2670008 5340016 10680032