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132655120 = 24513229557
BaseRepresentation
bin1111110100000…
…10100000010000
3100020121120121121
413322002200100
5232424430440
621055132024
73200356423
oct772024020
9306546547
10132655120
1168975834
1238514014
1321638170
14138919ba
15b9a534a
hex7e82810

132655120 has 80 divisors (see below), whose sum is σ = 334197360. Its totient is φ = 48678912.

The previous prime is 132655091. The next prime is 132655121. The reversal of 132655120 is 21556231.

It can be written as a sum of positive squares in 8 ways, for example, as 8020224 + 124634896 = 2832^2 + 11164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (132655121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237882 + ... + 238438.

It is an arithmetic number, because the mean of its divisors is an integer number (4177467).

Almost surely, 2132655120 is an apocalyptic number.

132655120 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 132655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167098680).

132655120 is an abundant number, since it is smaller than the sum of its proper divisors (201542240).

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

132655120 is a wasteful number, since it uses less digits than its factorization.

132655120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 132655120 is about 11517.6004445370. The cubic root of 132655120 is about 510.0052799658.

The spelling of 132655120 in words is "one hundred thirty-two million, six hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 229 260 458 520 557 916 1040 1114 1145 1832 2228 2290 2785 2977 3664 4456 4580 5570 5954 7241 8912 9160 11140 11908 14482 14885 18320 22280 23816 28964 29770 36205 44560 47632 57928 59540 72410 115856 119080 127553 144820 238160 255106 289640 510212 579280 637765 1020424 1275530 1658189 2040848 2551060 3316378 5102120 6632756 8290945 10204240 13265512 16581890 26531024 33163780 66327560 132655120