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132057940 = 22572134753
BaseRepresentation
bin1111101111100…
…00101101010100
3100012111020102211
413313300231110
5232301323230
621034243204
73162321400
oct767605524
9305436384
10132057940
11685a80a3
1238286504
13214893c1
1413778100
15b8d842a
hex7df0b54

132057940 has 36 divisors (see below), whose sum is σ = 322601076. Its totient is φ = 45276672.

The previous prime is 132057911. The next prime is 132057943. The reversal of 132057940 is 49750231.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 28751044 = 10164^2 + 5362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132057943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66397 + ... + 68356.

It is an arithmetic number, because the mean of its divisors is an integer number (8961141).

Almost surely, 2132057940 is an apocalyptic number.

132057940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132057940 is an abundant number, since it is smaller than the sum of its proper divisors (190543136).

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

132057940 is a wasteful number, since it uses less digits than its factorization.

132057940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134776 (or 134767 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 132057940 is about 11491.6465312852. The cubic root of 132057940 is about 509.2388234971.

The spelling of 132057940 in words is "one hundred thirty-two million, fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 134753 269506 539012 673765 943271 1347530 1886542 2695060 3773084 4716355 6602897 9432710 13205794 18865420 26411588 33014485 66028970 132057940