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133703568 = 24331272437
BaseRepresentation
bin1111111100000…
…10011110010000
3100022120211211000
413332002132100
5233212003233
621133422000
73212314215
oct776023620
9308524730
10133703568
1169521519
123893a900
132191444b
1413a85b0c
15bb10d13
hex7f82790

133703568 has 80 divisors (see below), whose sum is σ = 386959360. Its totient is φ = 44198784.

The previous prime is 133703567. The next prime is 133703573. The reversal of 133703568 is 865307331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133703561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53646 + ... + 56082.

It is an arithmetic number, because the mean of its divisors is an integer number (4836992).

Almost surely, 2133703568 is an apocalyptic number.

133703568 is a gapful number since it is divisible by the number (18) 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 133703568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193479680).

133703568 is an abundant number, since it is smaller than the sum of its proper divisors (253255792).

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

133703568 is a wasteful number, since it uses less digits than its factorization.

133703568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133703568 is about 11563.0259015536. The cubic root of 133703568 is about 511.3453751281.

The spelling of 133703568 in words is "one hundred thirty-three million, seven hundred three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 2437 3048 3429 4572 4874 6096 6858 7311 9144 9748 13716 14622 18288 19496 21933 27432 29244 38992 43866 54864 58488 65799 87732 116976 131598 175464 263196 309499 350928 526392 618998 928497 1052784 1237996 1856994 2475992 2785491 3713988 4951984 5570982 7427976 8356473 11141964 14855952 16712946 22283928 33425892 44567856 66851784 133703568