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132386960 = 2457322669
BaseRepresentation
bin1111110010000…
…01000010010000
3100020002221202202
413321001002100
5232342340320
621045302332
73165161546
oct771010220
9306087682
10132386960
1168802312
12384049a8
13215730a4
1413821d96
15b950b75
hex7e41090

132386960 has 40 divisors (see below), whose sum is σ = 312029880. Its totient is φ = 52227072.

The previous prime is 132386941. The next prime is 132386963. The reversal of 132386960 is 69683231.

It can be written as a sum of positive squares in 4 ways, for example, as 50013184 + 82373776 = 7072^2 + 9076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (132386963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5495 + ... + 17174.

It is an arithmetic number, because the mean of its divisors is an integer number (7800747).

Almost surely, 2132386960 is an apocalyptic number.

132386960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132386960 is an abundant number, since it is smaller than the sum of its proper divisors (179642920).

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

132386960 is a wasteful number, since it uses less digits than its factorization.

132386960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22755 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 132386960 is about 11505.9532416919. The cubic root of 132386960 is about 509.6613925627.

The spelling of 132386960 in words is "one hundred thirty-two million, three hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 22669 45338 90676 113345 181352 226690 362704 453380 906760 1654837 1813520 3309674 6619348 8274185 13238696 16548370 26477392 33096740 66193480 132386960