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132600960 = 2732523021
BaseRepresentation
bin1111110011101…
…01010010000000
3100020111211022200
413321311102000
5232421212320
621054033200
73200042502
oct771652200
9306454280
10132600960
1168939078
12384a8800
132161960b
1413879d72
15b994290
hex7e75480

132600960 has 96 divisors (see below), whose sum is σ = 457907580. Its totient is φ = 35358720.

The previous prime is 132600953. The next prime is 132600961. The reversal of 132600960 is 69006231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 10188864 = 11064^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (132600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5751 + ... + 17270.

Almost surely, 2132600960 is an apocalyptic number.

132600960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132600960 is an abundant number, since it is smaller than the sum of its proper divisors (325306620).

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

132600960 is a wasteful number, since it uses less digits than its factorization.

132600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23046 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132600960 is about 11515.2490203208. The cubic root of 132600960 is about 509.9358627534.

The spelling of 132600960 in words is "one hundred thirty-two million, six hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 23021 46042 69063 92084 115105 138126 184168 207189 230210 276252 345315 368336 414378 460420 552504 690630 736672 828756 920840 1035945 1105008 1381260 1473344 1657512 1841680 2071890 2210016 2762520 2946688 3315024 3683360 4143780 4420032 5525040 6630048 7366720 8287560 8840064 11050080 13260096 14733440 16575120 22100160 26520192 33150240 44200320 66300480 132600960