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132664720 = 2451658309
BaseRepresentation
bin1111110100001…
…00110110010000
3100020122001210011
413322010312100
5232430232340
621055244304
73200426416
oct772046620
9306561704
10132664720
1168981a71
1238519694
132163c646
14138952b6
15b9a80ea
hex7e84d90

132664720 has 20 divisors (see below), whose sum is σ = 308445660. Its totient is φ = 53065856.

The previous prime is 132664711. The next prime is 132664729. The reversal of 132664720 is 27466231.

It is an interprime number because it is at equal distance from previous prime (132664711) and next prime (132664729).

It can be written as a sum of positive squares in 2 ways, for example, as 19114384 + 113550336 = 4372^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (132664729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829075 + ... + 829234.

It is an arithmetic number, because the mean of its divisors is an integer number (15422283).

Almost surely, 2132664720 is an apocalyptic number.

132664720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132664720 is an abundant number, since it is smaller than the sum of its proper divisors (175780940).

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

132664720 is a wasteful number, since it uses less digits than its factorization.

132664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658322 (or 1658316 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 132664720 is about 11518.0171904716. The cubic root of 132664720 is about 510.0175823747.

The spelling of 132664720 in words is "one hundred thirty-two million, six hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1658309 3316618 6633236 8291545 13266472 16583090 26532944 33166180 66332360 132664720