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10128132 = 2233713397
BaseRepresentation
bin100110101000…
…101100000100
3201001120012000
4212220230010
510043100012
61001025300
7152042040
oct46505404
921046160
1010128132
115798463
123485230
132137ca1
1414b9020
15d50ddc
hex9a8b04

10128132 has 48 divisors (see below), whose sum is σ = 30011520. Its totient is φ = 2893536.

The previous prime is 10128127. The next prime is 10128137. The reversal of 10128132 is 23182101.

It is an interprime number because it is at equal distance from previous prime (10128127) and next prime (10128137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10128137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5943 + ... + 7454.

It is an arithmetic number, because the mean of its divisors is an integer number (625240).

Almost surely, 210128132 is an apocalyptic number.

10128132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10128132 is an abundant number, since it is smaller than the sum of its proper divisors (19883388).

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

10128132 is a wasteful number, since it uses less digits than its factorization.

10128132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10128132 is about 3182.4726236057. The cubic root of 10128132 is about 216.3597400398.

The spelling of 10128132 in words is "ten million, one hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13397 26794 40191 53588 80382 93779 120573 160764 187558 241146 281337 361719 375116 482292 562674 723438 844011 1125348 1446876 1688022 2532033 3376044 5064066 10128132