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132371720 = 23513833067
BaseRepresentation
bin1111110001111…
…01010100001000
3100020002011212022
413320331110020
5232341343340
621045104012
73165066245
oct770752410
9306064768
10132371720
11687a1918
12383b8008
1321569180
141381a5cc
15b94b3b5
hex7e3d508

132371720 has 64 divisors (see below), whose sum is σ = 324717120. Its totient is φ = 48271104.

The previous prime is 132371669. The next prime is 132371731. The reversal of 132371720 is 27173231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 132371720.

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, 41627 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (5073705).

Almost surely, 2132371720 is an apocalyptic number.

132371720 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 132371720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358560).

132371720 is an abundant number, since it is smaller than the sum of its proper divisors (192345400).

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

132371720 is a wasteful number, since it uses less digits than its factorization.

132371720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 132371720 is about 11505.2909567729. The cubic root of 132371720 is about 509.6418349021.

The spelling of 132371720 in words is "one hundred thirty-two million, three hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 260 332 415 520 664 830 1079 1660 2158 3067 3320 4316 5395 6134 8632 10790 12268 15335 21580 24536 30670 39871 43160 61340 79742 122680 159484 199355 254561 318968 398710 509122 797420 1018244 1272805 1594840 2036488 2545610 3309293 5091220 6618586 10182440 13237172 16546465 26474344 33092930 66185860 132371720