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10638216 = 233416417
BaseRepresentation
bin101000100101…
…001110001000
3202000110220000
4220211032020
510210410331
61020003000
7156265131
oct50451610
922013800
1010638216
116006716
123690460
132286204
1415acc88
15e020e6
hexa25388

10638216 has 40 divisors (see below), whose sum is σ = 29798670. Its totient is φ = 3545856.

The previous prime is 10638161. The next prime is 10638223. The reversal of 10638216 is 61283601.

10638216 is a `hidden beast` number, since 1 + 0 + 638 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 715716 = 3150^2 + 846^2 .

It is a super-2 number, since 2×106382162 = 226343279325312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10638216.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7561 + ... + 8856.

Almost surely, 210638216 is an apocalyptic number.

It is an amenable number.

10638216 is an abundant number, since it is smaller than the sum of its proper divisors (19160454).

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

10638216 is a wasteful number, since it uses less digits than its factorization.

10638216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16435 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10638216 is about 3261.6278144509. The cubic root of 10638216 is about 219.9325964309.

The spelling of 10638216 in words is "ten million, six hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 16417 32834 49251 65668 98502 131336 147753 197004 295506 394008 443259 591012 886518 1182024 1329777 1773036 2659554 3546072 5319108 10638216