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10132116 = 2235389179
BaseRepresentation
bin100110101001…
…101010010100
3201001202122120
4212221222110
510043211431
61001055540
7152056461
oct46515224
921052576
1010132116
1157a0455
1234875b0
132139a47
1414ba668
15d52196
hex9a9a94

10132116 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3258112.

The previous prime is 10132103. The next prime is 10132139. The reversal of 10132116 is 61123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132095 and 10132104.

It is a congruent number.

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, 56515 + ... + 56693.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 210132116 is an apocalyptic number.

It is an amenable number.

10132116 is an abundant number, since it is smaller than the sum of its proper divisors (14362284).

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

10132116 is a wasteful number, since it uses less digits than its factorization.

10132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10132116 is about 3183.0984904649. The cubic root of 10132116 is about 216.3881053957.

Adding to 10132116 its reverse (61123101), we get a palindrome (71255217).

The spelling of 10132116 in words is "ten million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 53 89 106 159 178 179 212 267 318 356 358 534 537 636 716 1068 1074 2148 4717 9434 9487 14151 15931 18868 18974 28302 28461 31862 37948 47793 56604 56922 63724 95586 113844 191172 844343 1688686 2533029 3377372 5066058 10132116