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132074520 = 23357315077
BaseRepresentation
bin1111101111101…
…00110000011000
3100012112002011220
413313310300120
5232302341040
621034452040
73162420624
oct767646030
9305462156
10132074520
11686095a6
1238294020
1321493b06
1413780184
15b8dd2d0
hex7df4c18

132074520 has 64 divisors (see below), whose sum is σ = 401677920. Its totient is φ = 34735104.

The previous prime is 132074483. The next prime is 132074549. The reversal of 132074520 is 25470231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1222 + ... + 16298.

Almost surely, 2132074520 is an apocalyptic number.

132074520 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 132074520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200838960).

132074520 is an abundant number, since it is smaller than the sum of its proper divisors (269603400).

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

132074520 is a wasteful number, since it uses less digits than its factorization.

132074520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15164 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132074520 is about 11492.3679022210. The cubic root of 132074520 is about 509.2601344116.

The spelling of 132074520 in words is "one hundred thirty-two million, seventy-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 15077 30154 45231 60308 75385 90462 120616 150770 180924 226155 301540 361848 452310 603080 904620 1100621 1809240 2201242 3301863 4402484 5503105 6603726 8804968 11006210 13207452 16509315 22012420 26414904 33018630 44024840 66037260 132074520