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133655720 = 235111791697
BaseRepresentation
bin1111111011101…
…10110010101000
3100022111102011212
413331312302220
5233203440340
621132412252
73212024552
oct775666250
9308442155
10133655720
1169499580
1238917088
13218c8733
1413a724d2
15bb01a65
hex7f76ca8

133655720 has 64 divisors (see below), whose sum is σ = 330091200. Its totient is φ = 48302080.

The previous prime is 133655713. The next prime is 133655741. The reversal of 133655720 is 27556331.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77912 + ... + 79608.

It is an arithmetic number, because the mean of its divisors is an integer number (5157675).

Almost surely, 2133655720 is an apocalyptic number.

133655720 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 133655720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165045600).

133655720 is an abundant number, since it is smaller than the sum of its proper divisors (196435480).

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

133655720 is a wasteful number, since it uses less digits than its factorization.

133655720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 133655720 is about 11560.9567078162. The cubic root of 133655720 is about 511.2843700927.

The spelling of 133655720 in words is "one hundred thirty-three million, six hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1697 1790 1969 3394 3580 3938 6788 7160 7876 8485 9845 13576 15752 16970 18667 19690 33940 37334 39380 67880 74668 78760 93335 149336 186670 303763 373340 607526 746680 1215052 1518815 2430104 3037630 3341393 6075260 6682786 12150520 13365572 16706965 26731144 33413930 66827860 133655720