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132266656 = 2541731381
BaseRepresentation
bin1111110001000…
…11101010100000
3100012212211202001
413320203222200
5232330013111
621042533344
73164151034
oct770435240
9305784661
10132266656
116872a995
1238367254
13215303c2
14137d01c4
15b92a1c1
hex7e23aa0

132266656 has 48 divisors (see below), whose sum is σ = 270601128. Its totient is φ = 63590400.

The previous prime is 132266653. The next prime is 132266683. The reversal of 132266656 is 656662231.

132266656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82083600 + 50183056 = 9060^2 + 7084^2 .

It is not an unprimeable number, because it can be changed into a prime (132266653) 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 7 ways as a sum of consecutive naturals, for example, 95086 + ... + 96466.

Almost surely, 2132266656 is an apocalyptic number.

132266656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135300564).

132266656 is an abundant number, since it is smaller than the sum of its proper divisors (138334472).

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

132266656 is a wasteful number, since it uses less digits than its factorization.

132266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 132266656 is about 11500.7241511133. The cubic root of 132266656 is about 509.5069642457.

The spelling of 132266656 in words is "one hundred thirty-two million, two hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 73 82 146 164 292 328 584 656 1168 1312 1381 2336 2762 2993 5524 5986 11048 11972 22096 23944 44192 47888 56621 95776 100813 113242 201626 226484 403252 452968 806504 905936 1613008 1811872 3226016 4133333 8266666 16533332 33066664 66133328 132266656