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132505520 = 24571511567
BaseRepresentation
bin1111110010111…
…01111110110000
3100020022222101212
413321131332300
5232410134040
621052015252
73166164320
oct771357660
9306288355
10132505520
11688833a4
1238461528
13215b5044
1413853280
15b975d65
hex7e5dfb0

132505520 has 80 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 45100800.

The previous prime is 132505519. The next prime is 132505537. The reversal of 132505520 is 25505231.

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

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, 83777 + ... + 85343.

Almost surely, 2132505520 is an apocalyptic number.

132505520 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 132505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).

132505520 is an abundant number, since it is smaller than the sum of its proper divisors (222138448).

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

132505520 is a wasteful number, since it uses less digits than its factorization.

132505520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 132505520 is about 11511.1042042021. The cubic root of 132505520 is about 509.8134906886.

The spelling of 132505520 in words is "one hundred thirty-two million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 1057 1208 1510 1567 2114 2416 3020 3134 4228 5285 6040 6268 7835 8456 10570 10969 12080 12536 15670 16912 21140 21938 25072 31340 42280 43876 54845 62680 84560 87752 109690 125360 175504 219380 236617 438760 473234 877520 946468 1183085 1656319 1892936 2366170 3312638 3785872 4732340 6625276 8281595 9464680 13250552 16563190 18929360 26501104 33126380 66252760 132505520