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132574980 = 223515114633
BaseRepresentation
bin1111110011011…
…10111100000100
3100020110111200110
413321232330010
5232414344410
621053313020
73166603656
oct771567404
9306414613
10132574980
11689205aa
1238495770
132160a845
14138706d6
15b98b720
hex7e6ef04

132574980 has 48 divisors (see below), whose sum is σ = 373693824. Its totient is φ = 35116800.

The previous prime is 132574969. The next prime is 132574991. The reversal of 132574980 is 89475231.

It is an interprime number because it is at equal distance from previous prime (132574969) and next prime (132574991).

It is a super-2 number, since 2×1325749802 = 35152250644000800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744 + ... + 16376.

It is an arithmetic number, because the mean of its divisors is an integer number (7785288).

Almost surely, 2132574980 is an apocalyptic number.

132574980 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 132574980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186846912).

132574980 is an abundant number, since it is smaller than the sum of its proper divisors (241118844).

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

132574980 is a wasteful number, since it uses less digits than its factorization.

132574980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 132574980 is about 11514.1208956655. The cubic root of 132574980 is about 509.9025573157.

It can be divided in two parts, 132 and 574980, that multiplied together give a triangular number (75897360 = T12320).

The spelling of 132574980 in words is "one hundred thirty-two million, five hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 14633 29266 43899 58532 73165 87798 146330 175596 219495 292660 438990 877980 2209583 4419166 6628749 8838332 11047915 13257498 22095830 26514996 33143745 44191660 66287490 132574980