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133551660 = 2235111711903
BaseRepresentation
bin1111111010111…
…01011000101100
3100022022010102210
413331131120230
5233142123120
621130250420
73211112304
oct775353054
9308263383
10133551660
1169428380
1238886a10
1321890268
1413a46604
15bad0ce0
hex7f5d62c

133551660 has 96 divisors (see below), whose sum is σ = 431972352. Its totient is φ = 30469120.

The previous prime is 133551647. The next prime is 133551661. The reversal of 133551660 is 66155331.

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 (133551661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5269 + ... + 17171.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2133551660 is an apocalyptic number.

133551660 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 133551660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

133551660 is an abundant number, since it is smaller than the sum of its proper divisors (298420692).

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

133551660 is a wasteful number, since it uses less digits than its factorization.

133551660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11941 counting only the distinct ones).

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

The square root of 133551660 is about 11556.4553389004. The cubic root of 133551660 is about 511.1516458435.

The spelling of 133551660 in words is "one hundred thirty-three million, five hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 11903 23806 35709 47612 59515 71418 119030 130933 142836 178545 202351 238060 261866 357090 392799 404702 523732 607053 654665 714180 785598 809404 1011755 1214106 1309330 1571196 1963995 2023510 2225861 2428212 2618660 3035265 3927990 4047020 4451722 6070530 6677583 7855980 8903444 11129305 12141060 13355166 22258610 26710332 33387915 44517220 66775830 133551660