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132355616 = 2523315801
BaseRepresentation
bin1111110001110…
…01011000100000
3100020001100202212
413320321120200
5232340334431
621044501252
73165001301
oct770713040
9306040685
10132355616
1168790808
12383aa828
1321561a43
14138147a8
15b94672b
hex7e39620

132355616 has 48 divisors (see below), whose sum is σ = 280723968. Its totient is φ = 61248000.

The previous prime is 132355609. The next prime is 132355621. The reversal of 132355616 is 616553231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 19916 + ... + 25716.

It is an arithmetic number, because the mean of its divisors is an integer number (5848416).

Almost surely, 2132355616 is an apocalyptic number.

132355616 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 132355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140361984).

132355616 is an abundant number, since it is smaller than the sum of its proper divisors (148368352).

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

132355616 is a wasteful number, since it uses less digits than its factorization.

132355616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5857 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 132355616 is about 11504.5910835631. The cubic root of 132355616 is about 509.6211668295.

The spelling of 132355616 in words is "one hundred thirty-two million, three hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 5801 11408 11602 22816 23204 46408 92816 133423 179831 185632 266846 359662 533692 719324 1067384 1438648 2134768 2877296 4136113 4269536 5754592 8272226 16544452 33088904 66177808 132355616