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133155660 = 223511218341
BaseRepresentation
bin1111110111111…
…00101101001100
3100021120000020010
413323330231030
5233041440120
621113553220
73204542631
oct773745514
9307500203
10133155660
1169187900
1238715810
1321781c41
1413982188
15ba537e0
hex7efcb4c

133155660 has 72 divisors (see below), whose sum is σ = 409833648. Its totient is φ = 32278400.

The previous prime is 133155647. The next prime is 133155661. The reversal of 133155660 is 66551331.

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 (133155661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (5692134).

Almost surely, 2133155660 is an apocalyptic number.

133155660 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 133155660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204916824).

133155660 is an abundant number, since it is smaller than the sum of its proper divisors (276677988).

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

133155660 is a wasteful number, since it uses less digits than its factorization.

133155660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18375 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 133155660 is about 11539.3093380843. The cubic root of 133155660 is about 510.6459328077.

The spelling of 133155660 in words is "one hundred thirty-three million, one hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 18341 36682 55023 73364 91705 110046 183410 201751 220092 275115 366820 403502 550230 605253 807004 1008755 1100460 1210506 2017510 2219261 2421012 3026265 4035020 4438522 6052530 6657783 8877044 11096305 12105060 13315566 22192610 26631132 33288915 44385220 66577830 133155660