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132408880 = 24597113151
BaseRepresentation
bin1111110010001…
…10011000110000
3100020011001211121
413321012120300
5232344041010
621045552024
73165312502
oct771063060
9306131747
10132408880
116881782a
1238415614
1321580066
1413829d72
15b9573da
hex7e46630

132408880 has 80 divisors (see below), whose sum is σ = 315854784. Its totient is φ = 51609600.

The previous prime is 132408877. The next prime is 132408889. The reversal of 132408880 is 88804231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1324088802 = 35064223005708800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132408889) 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 15 ways as a sum of consecutive naturals, for example, 876805 + ... + 876955.

Almost surely, 2132408880 is an apocalyptic number.

132408880 is a gapful number since it is divisible by the number (10) 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 132408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157927392).

132408880 is an abundant number, since it is smaller than the sum of its proper divisors (183445904).

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

132408880 is a wasteful number, since it uses less digits than its factorization.

132408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 132408880 is about 11506.9057526339. The cubic root of 132408880 is about 509.6895201094.

The spelling of 132408880 in words is "one hundred thirty-two million, four hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 113 151 194 226 302 388 452 485 565 604 755 776 904 970 1130 1208 1510 1552 1808 1940 2260 2416 3020 3880 4520 6040 7760 9040 10961 12080 14647 17063 21922 29294 34126 43844 54805 58588 68252 73235 85315 87688 109610 117176 136504 146470 170630 175376 219220 234352 273008 292940 341260 438440 585880 682520 876880 1171760 1365040 1655111 3310222 6620444 8275555 13240888 16551110 26481776 33102220 66204440 132408880