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132051320 = 23531109977
BaseRepresentation
bin1111101111011…
…11000101111000
3100012110220100122
413313233011320
5232301120240
621034152412
73162263162
oct767570570
9305426318
10132051320
11685a3125
1238282708
132148639b
1413775932
15b8d64b5
hex7def178

132051320 has 64 divisors (see below), whose sum is σ = 309830400. Its totient is φ = 50595840.

The previous prime is 132051319. The next prime is 132051373. The reversal of 132051320 is 23150231.

It is a super-2 number, since 2×1320513202 = 34875102227484800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134672 + ... + 135648.

It is an arithmetic number, because the mean of its divisors is an integer number (4841100).

Almost surely, 2132051320 is an apocalyptic number.

132051320 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 132051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154915200).

132051320 is an abundant number, since it is smaller than the sum of its proper divisors (177779080).

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

132051320 is a wasteful number, since it uses less digits than its factorization.

132051320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 132051320 is about 11491.3584923629. The cubic root of 132051320 is about 509.2303140572.

The spelling of 132051320 in words is "one hundred thirty-two million, fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 977 1090 1240 1954 2180 3379 3908 4360 4885 6758 7816 9770 13516 16895 19540 27032 30287 33790 39080 60574 67580 106493 121148 135160 151435 212986 242296 302870 425972 532465 605740 851944 1064930 1211480 2129860 3301283 4259720 6602566 13205132 16506415 26410264 33012830 66025660 132051320