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132775740 = 22335245881
BaseRepresentation
bin1111110100111…
…11111100111100
3100020211201002000
413322133330330
5232442310430
621101502300
73201401166
oct772377474
9306751060
10132775740
1168a48419
1238571990
132167b036
14138c3936
15b9cae60
hex7e9ff3c

132775740 has 48 divisors (see below), whose sum is σ = 413081760. Its totient is φ = 35406720.

The previous prime is 132775723. The next prime is 132775771. The reversal of 132775740 is 47577231.

132775740 is a `hidden beast` number, since 13 + 2 + 77 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132775695 and 132775704.

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, 122401 + ... + 123480.

It is an arithmetic number, because the mean of its divisors is an integer number (8605870).

Almost surely, 2132775740 is an apocalyptic number.

132775740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132775740 is an abundant number, since it is smaller than the sum of its proper divisors (280306020).

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

132775740 is a wasteful number, since it uses less digits than its factorization.

132775740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245899 (or 245891 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 132775740 is about 11522.8355885173. The cubic root of 132775740 is about 510.1598115086.

The spelling of 132775740 in words is "one hundred thirty-two million, seven hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 245881 491762 737643 983524 1229405 1475286 2212929 2458810 2950572 3688215 4425858 4917620 6638787 7376430 8851716 11064645 13277574 14752860 22129290 26555148 33193935 44258580 66387870 132775740