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10686432 = 253111317
BaseRepresentation
bin101000110000…
…111111100000
3202002221000210
4220300333200
510213431212
61021014120
7156555531
oct50607740
922087023
1010686432
116039969
1236b4340
1322a2143
1415c2688
15e1153c
hexa30fe0

10686432 has 24 divisors (see below), whose sum is σ = 28052136. Its totient is φ = 3562112.

The previous prime is 10686427. The next prime is 10686439. The reversal of 10686432 is 23468601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106864322 = 228399657781248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10686432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55563 + ... + 55754.

It is an arithmetic number, because the mean of its divisors is an integer number (1168839).

Almost surely, 210686432 is an apocalyptic number.

10686432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10686432 is an abundant number, since it is smaller than the sum of its proper divisors (17365704).

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

10686432 is a wasteful number, since it uses less digits than its factorization.

10686432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111330 (or 111322 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 10686432 is about 3269.0108595721. The cubic root of 10686432 is about 220.2643653908.

The spelling of 10686432 in words is "ten million, six hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 111317 222634 333951 445268 667902 890536 1335804 1781072 2671608 3562144 5343216 10686432