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10679144 = 237190699
BaseRepresentation
bin101000101111…
…001101101000
3202002120000212
4220233031220
510213213034
61020520252
7156525350
oct50571550
922076025
1010679144
116034443
1236b0088
13229ba28
1415bdb60
15e0e2ce
hexa2f368

10679144 has 16 divisors (see below), whose sum is σ = 22884000. Its totient is φ = 4576752.

The previous prime is 10679101. The next prime is 10679161. The reversal of 10679144 is 44197601.

10679144 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 2×106791442 = 228088233145472, 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 10679144.

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, 95294 + ... + 95405.

It is an arithmetic number, because the mean of its divisors is an integer number (1430250).

Almost surely, 210679144 is an apocalyptic number.

10679144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10679144 is an abundant number, since it is smaller than the sum of its proper divisors (12204856).

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

10679144 is a wasteful number, since it uses less digits than its factorization.

10679144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190712 (or 190708 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 10679144 is about 3267.8959591762. The cubic root of 10679144 is about 220.2142815786.

The spelling of 10679144 in words is "ten million, six hundred seventy-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 190699 381398 762796 1334893 1525592 2669786 5339572 10679144