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10132032 = 263113467
BaseRepresentation
bin100110101001…
…101001000000
3201001202112110
4212221221000
510043211112
61001055320
7152056311
oct46515100
921052473
1010132032
1157a0389
123487540
1321399b1
1414ba608
15d5213c
hex9a9a40

10132032 has 56 divisors (see below), whose sum is σ = 27102816. Its totient is φ = 3340288.

The previous prime is 10132021. The next prime is 10132033. The reversal of 10132032 is 23023101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131999 and 10132017.

It is not an unprimeable number, because it can be changed into a prime (10132033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21463 + ... + 21929.

Almost surely, 210132032 is an apocalyptic number.

10132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551408).

10132032 is an abundant number, since it is smaller than the sum of its proper divisors (16970784).

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

10132032 is a wasteful number, since it uses less digits than its factorization.

10132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

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

The square root of 10132032 is about 3183.0852957469. The cubic root of 10132032 is about 216.3875074077.

Adding to 10132032 its reverse (23023101), we get a palindrome (33155133).

The spelling of 10132032 in words is "ten million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 467 678 904 934 1356 1401 1808 1868 2712 2802 3616 3736 5424 5604 7232 7472 10848 11208 14944 21696 22416 29888 44832 52771 89664 105542 158313 211084 316626 422168 633252 844336 1266504 1688672 2533008 3377344 5066016 10132032