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132763040 = 2556071367
BaseRepresentation
bin1111110100111…
…00110110100000
3100020211001122122
413322130312200
5232441404130
621101323412
73201316154
oct772346640
9306731578
10132763040
1168a39923
1238566568
1321675317
14138bd064
15b9c72e5
hex7e9cda0

132763040 has 48 divisors (see below), whose sum is σ = 314399232. Its totient is φ = 52978944.

The previous prime is 132763021. The next prime is 132763069. The reversal of 132763040 is 40367231.

132763040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96437 + ... + 97803.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2132763040 is an apocalyptic number.

132763040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132763040 is an abundant number, since it is smaller than the sum of its proper divisors (181636192).

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

132763040 is a wasteful number, since it uses less digits than its factorization.

132763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 132763040 is about 11522.2844957066. The cubic root of 132763040 is about 510.1435453940.

The spelling of 132763040 in words is "one hundred thirty-two million, seven hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 607 1214 1367 2428 2734 3035 4856 5468 6070 6835 9712 10936 12140 13670 19424 21872 24280 27340 43744 48560 54680 97120 109360 218720 829769 1659538 3319076 4148845 6638152 8297690 13276304 16595380 26552608 33190760 66381520 132763040