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10032132 = 2231176001
BaseRepresentation
bin100110010001…
…010000000100
3200212200111110
4212101100010
510032012012
6555005020
7151162125
oct46212004
920780443
1010032132
115732320
123439770
132103396
14149204c
15d3273c
hex991404

10032132 has 24 divisors (see below), whose sum is σ = 25536672. Its totient is φ = 3040000.

The previous prime is 10032119. The next prime is 10032151. The reversal of 10032132 is 23123001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37869 + ... + 38132.

It is an arithmetic number, because the mean of its divisors is an integer number (1064028).

Almost surely, 210032132 is an apocalyptic number.

10032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032132 is an abundant number, since it is smaller than the sum of its proper divisors (15504540).

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

10032132 is a wasteful number, since it uses less digits than its factorization.

10032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76019 (or 76017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10032132 is about 3167.3541008230. The cubic root of 10032132 is about 215.6739766084.

Adding to 10032132 its reverse (23123001), we get a palindrome (33155133).

The spelling of 10032132 in words is "ten million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 76001 152002 228003 304004 456006 836011 912012 1672022 2508033 3344044 5016066 10032132