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132012032 = 21173883
BaseRepresentation
bin1111101111001…
…01100000000000
3100012101220110112
413313211200000
5232243341112
621033250452
73162040505
oct767454000
9305356415
10132012032
1168576659
1238263a28
1321471539
14137654ac
15b8c9a22
hex7de5800

132012032 has 48 divisors (see below), whose sum is σ = 267878520. Its totient is φ = 65028096.

The previous prime is 132012017. The next prime is 132012047. The reversal of 132012032 is 230210231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132012017) and next prime (132012047).

It is a junction number, because it is equal to n+sod(n) for n = 132011998 and 132012016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149063 + ... + 149945.

Almost surely, 2132012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939260).

132012032 is an abundant number, since it is smaller than the sum of its proper divisors (135866488).

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

132012032 is an frugal number, since it uses more digits than its factorization.

132012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132012032 is about 11489.6489067334. The cubic root of 132012032 is about 509.1798068628.

Adding to 132012032 its reverse (230210231), we get a palindrome (362222263).

The spelling of 132012032 in words is "one hundred thirty-two million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 883 1024 1168 1766 2048 2336 3532 4672 7064 9344 14128 18688 28256 37376 56512 64459 74752 113024 128918 149504 226048 257836 452096 515672 904192 1031344 1808384 2062688 4125376 8250752 16501504 33003008 66006016 132012032