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132016960 = 2651632531
BaseRepresentation
bin1111101111001…
…10101101000000
3100012102011020001
413313212231000
5232244020320
621033325344
73162061045
oct767465500
9305364201
10132016960
116857a329
1238266854
132147385a
14137671cc
15b8cb20a
hex7de6b40

132016960 has 56 divisors (see below), whose sum is σ = 316418976. Its totient is φ = 52462080.

The previous prime is 132016957. The next prime is 132016981. The reversal of 132016960 is 69610231.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50895 + ... + 53425.

Almost surely, 2132016960 is an apocalyptic number.

132016960 is a gapful number since it is divisible by the number (10) 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 132016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158209488).

132016960 is an abundant number, since it is smaller than the sum of its proper divisors (184402016).

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

132016960 is a wasteful number, since it uses less digits than its factorization.

132016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 132016960 is about 11489.8633586305. The cubic root of 132016960 is about 509.1861426663.

The spelling of 132016960 in words is "one hundred thirty-two million, sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 815 1304 1630 2531 2608 3260 5062 5216 6520 10124 10432 12655 13040 20248 25310 26080 40496 50620 52160 80992 101240 161984 202480 404960 412553 809920 825106 1650212 2062765 3300424 4125530 6600848 8251060 13201696 16502120 26403392 33004240 66008480 132016960