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132356056 = 23721013343
BaseRepresentation
bin1111110001110…
…01011111011000
3100020001101101011
413320321133120
5232340343211
621044503304
73165002500
oct770713730
9306041334
10132356056
1168791078
12383aab34
1321561cc1
1413814a00
15b946921
hex7e397d8

132356056 has 48 divisors (see below), whose sum is σ = 291630240. Its totient is φ = 56145600.

The previous prime is 132356051. The next prime is 132356093. The reversal of 132356056 is 650653231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132356051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37921 + ... + 41263.

It is an arithmetic number, because the mean of its divisors is an integer number (6075630).

Almost surely, 2132356056 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 132356056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145815120).

132356056 is an abundant number, since it is smaller than the sum of its proper divisors (159274184).

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

132356056 is a wasteful number, since it uses less digits than its factorization.

132356056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 132356056 is about 11504.6102063477. The cubic root of 132356056 is about 509.6217315532.

It can be divided in two parts, 13235 and 6056, that added together give a palindrome (19291).

The spelling of 132356056 in words is "one hundred thirty-two million, three hundred fifty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 3343 4949 5656 6686 9898 13372 19796 23401 26744 39592 46802 93604 163807 187208 327614 337643 655228 675286 1310456 1350572 2363501 2701144 4727002 9454004 16544507 18908008 33089014 66178028 132356056