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10185132 = 223848761
BaseRepresentation
bin100110110110…
…100110101100
3201011110101010
4212312212230
510101411012
61002145220
7152400156
oct46664654
921143333
1010185132
115827271
1234b2210
132157c09
1414d1ad6
15d62c3c
hex9b69ac

10185132 has 12 divisors (see below), whose sum is σ = 23765336. Its totient is φ = 3395040.

The previous prime is 10185127. The next prime is 10185137. The reversal of 10185132 is 23158101.

It is an interprime number because it is at equal distance from previous prime (10185127) and next prime (10185137).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 10185099 and 10185108.

It is not an unprimeable number, because it can be changed into a prime (10185137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424369 + ... + 424392.

Almost surely, 210185132 is an apocalyptic number.

10185132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10185132 is an abundant number, since it is smaller than the sum of its proper divisors (13580204).

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

10185132 is a wasteful number, since it uses less digits than its factorization.

10185132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848768 (or 848766 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10185132 is about 3191.4153599931. The cubic root of 10185132 is about 216.7648638383.

The spelling of 10185132 in words is "ten million, one hundred eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 848761 1697522 2546283 3395044 5092566 10185132