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132628260 = 223553179233
BaseRepresentation
bin1111110011110…
…11111100100100
3100020120012202210
413321323330210
5232423101020
621054403420
73200215212
oct771737444
9306505683
10132628260
1168957636
1238500570
1321628b7b
1413885cb2
15b99c3e0
hex7e7bf24

132628260 has 96 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 34358272.

The previous prime is 132628241. The next prime is 132628267. The reversal of 132628260 is 62826231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132628267) 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, 569104 + ... + 569336.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2132628260 is an apocalyptic number.

132628260 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 132628260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

132628260 is an abundant number, since it is smaller than the sum of its proper divisors (249484380).

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

132628260 is a wasteful number, since it uses less digits than its factorization.

132628260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 132628260 is about 11516.4343440146. The cubic root of 132628260 is about 509.9708556971.

The spelling of 132628260 in words is "one hundred thirty-two million, six hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 179 212 233 265 318 358 466 530 537 636 699 716 795 895 932 1060 1074 1165 1398 1590 1790 2148 2330 2685 2796 3180 3495 3580 4660 5370 6990 9487 10740 12349 13980 18974 24698 28461 37047 37948 41707 47435 49396 56922 61745 74094 83414 94870 113844 123490 125121 142305 148188 166828 185235 189740 208535 246980 250242 284610 370470 417070 500484 569220 625605 740940 834140 1251210 2210471 2502420 4420942 6631413 8841884 11052355 13262826 22104710 26525652 33157065 44209420 66314130 132628260