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132808980 = 223529127601
BaseRepresentation
bin1111110101010…
…00000100010100
3100020220101200010
413322220010110
5232444341410
621102320220
73201600123
oct772500424
9306811603
10132808980
1168a70397
1238589070
13216901c5
14138d1aba
15b9d5c20
hex7ea8114

132808980 has 96 divisors (see below), whose sum is σ = 388362240. Its totient is φ = 33868800.

The previous prime is 132808967. The next prime is 132808987. The reversal of 132808980 is 89808231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132808987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220680 + ... + 221280.

It is an arithmetic number, because the mean of its divisors is an integer number (4045440).

Almost surely, 2132808980 is an apocalyptic number.

132808980 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 132808980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194181120).

132808980 is an abundant number, since it is smaller than the sum of its proper divisors (255553260).

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

132808980 is a wasteful number, since it uses less digits than its factorization.

132808980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 132808980 is about 11524.2778515619. The cubic root of 132808980 is about 510.2023802721.

The spelling of 132808980 in words is "one hundred thirty-two million, eight hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 127 145 174 254 290 348 381 435 508 580 601 635 762 870 1202 1270 1524 1740 1803 1905 2404 2540 3005 3606 3683 3810 6010 7212 7366 7620 9015 11049 12020 14732 17429 18030 18415 22098 34858 36060 36830 44196 52287 55245 69716 73660 76327 87145 104574 110490 152654 174290 209148 220980 228981 261435 305308 348580 381635 457962 522870 763270 915924 1045740 1144905 1526540 2213483 2289810 4426966 4579620 6640449 8853932 11067415 13280898 22134830 26561796 33202245 44269660 66404490 132808980