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10118952 = 233379593
BaseRepresentation
bin100110100110…
…011100101000
3201001002121000
4212212130220
510042301302
61000515000
7152003214
oct46463450
921032530
1010118952
115791578
12347ba60
132133a5c
1414b5944
15d4d31c
hex9a6728

10118952 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3324672.

The previous prime is 10118947. The next prime is 10118971. The reversal of 10118952 is 25981101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16768 + ... + 17360.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 210118952 is an apocalyptic number.

10118952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

10118952 is an abundant number, since it is smaller than the sum of its proper divisors (18393048).

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

10118952 is a wasteful number, since it uses less digits than its factorization.

10118952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10118952 is about 3181.0300218640. The cubic root of 10118952 is about 216.2943517793.

The spelling of 10118952 in words is "ten million, one hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 593 632 711 948 1186 1422 1779 1896 2133 2372 2844 3558 4266 4744 5337 5688 7116 8532 10674 14232 16011 17064 21348 32022 42696 46847 64044 93694 128088 140541 187388 281082 374776 421623 562164 843246 1124328 1264869 1686492 2529738 3372984 5059476 10118952