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132012928 = 271139127
BaseRepresentation
bin1111101111001…
…01101110000000
3100012101221200201
413313211232000
5232243403203
621033254544
73162043225
oct767455600
9305357621
10132012928
11685772a3
1238264454
1321471a78
141376594c
15b8c9e1d
hex7de5b80

132012928 has 32 divisors (see below), whose sum is σ = 265350960. Its totient is φ = 65415168.

The previous prime is 132012919. The next prime is 132012941. The reversal of 132012928 is 829210231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 132012896 and 132012905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9901 + ... + 19027.

Almost surely, 2132012928 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 132012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132675480).

132012928 is an abundant number, since it is smaller than the sum of its proper divisors (133338032).

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

132012928 is an equidigital number, since it uses as much as digits as its factorization.

132012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 132012928 is about 11489.6878982851. The cubic root of 132012928 is about 509.1809588388.

It can be divided in two parts, 13201 and 2928, that added together give a square (16129 = 1272).

The spelling of 132012928 in words is "one hundred thirty-two million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 9127 14464 18254 36508 73016 146032 292064 584128 1031351 1168256 2062702 4125404 8250808 16501616 33003232 66006464 132012928