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132996160 = 2651137783
BaseRepresentation
bin1111110110101…
…01110001000000
3100021020220102201
413323111301000
5233021334120
621110322544
73203306623
oct773256100
9307226381
10132996160
1169088a90
1238659454
132172746b
141393ddba
15ba2140a
hex7ed5c40

132996160 has 56 divisors (see below), whose sum is σ = 345496896. Its totient is φ = 48360960.

The previous prime is 132996121. The next prime is 132996161. The reversal of 132996160 is 61699231.

It is a super-3 number, since 3×1329961603 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132996161) 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, 15372 + ... + 22411.

Almost surely, 2132996160 is an apocalyptic number.

132996160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132996160 is an abundant number, since it is smaller than the sum of its proper divisors (212500736).

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

132996160 is a wasteful number, since it uses less digits than its factorization.

132996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37811 (or 37801 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 132996160 is about 11532.3961083549. The cubic root of 132996160 is about 510.4419595815.

The spelling of 132996160 in words is "one hundred thirty-two million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 37783 75566 151132 188915 302264 377830 415613 604528 755660 831226 1209056 1511320 1662452 2078065 2418112 3022640 3324904 4156130 6045280 6649808 8312260 12090560 13299616 16624520 26599232 33249040 66498080 132996160