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132342272 = 29534877
BaseRepresentation
bin1111110001101…
…10001000000000
3100020000200110122
413320312020000
5232334423042
621044315412
73164614346
oct770661000
9306020418
10132342272
1168781787
12383a2b68
132155894a
141380d996
15b9427d2
hex7e36200

132342272 has 40 divisors (see below), whose sum is σ = 269470476. Its totient is φ = 64909312.

The previous prime is 132342269. The next prime is 132342281. The reversal of 132342272 is 272243231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132342016 + 256 = 11504^2 + 16^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24698 + ... + 29574.

Almost surely, 2132342272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134735238).

132342272 is an abundant number, since it is smaller than the sum of its proper divisors (137128204).

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

132342272 is an frugal number, since it uses more digits than its factorization.

132342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4932 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 132342272 is about 11504.0111265593. The cubic root of 132342272 is about 509.6040397049.

The spelling of 132342272 in words is "one hundred thirty-two million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 4877 6784 9754 13568 19508 27136 39016 78032 156064 258481 312128 516962 624256 1033924 1248512 2067848 2497024 4135696 8271392 16542784 33085568 66171136 132342272