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132377120 = 2553759379
BaseRepresentation
bin1111110001111…
…10101000100000
3100020002110021022
413320332220200
5232342031440
621045145012
73165121061
oct770765040
9306073238
10132377120
11687a5987
12383bb168
132156b775
141381c568
15b94ccb5
hex7e3ea20

132377120 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 50512896.

The previous prime is 132377117. The next prime is 132377129. The reversal of 132377120 is 21773231.

It is a self number, because there is not a number n which added to its sum of digits gives 132377120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132377129) 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, 349091 + ... + 349469.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2132377120 is an apocalyptic number.

132377120 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 132377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

132377120 is an abundant number, since it is smaller than the sum of its proper divisors (195122080).

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

132377120 is a wasteful number, since it uses less digits than its factorization.

132377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

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

The square root of 132377120 is about 11505.5256290184. The cubic root of 132377120 is about 509.6487649536.

The spelling of 132377120 in words is "one hundred thirty-two million, three hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 59 74 80 118 148 160 185 236 295 296 370 379 472 590 592 740 758 944 1180 1184 1480 1516 1888 1895 2183 2360 2960 3032 3790 4366 4720 5920 6064 7580 8732 9440 10915 12128 14023 15160 17464 21830 22361 28046 30320 34928 43660 44722 56092 60640 69856 70115 87320 89444 111805 112184 140230 174640 178888 223610 224368 280460 349280 357776 447220 448736 560920 715552 827357 894440 1121840 1654714 1788880 2243680 3309428 3577760 4136785 6618856 8273570 13237712 16547140 26475424 33094280 66188560 132377120