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133963056 = 24322114409
BaseRepresentation
bin1111111110000…
…01110100110000
3100100002000202200
413333001310300
5233243304211
621143143200
73214444563
oct777016460
9310060680
10133963056
1169689477
1238a44b00
13219a55a6
1413b124da
15bb62b56
hex7fc1d30

133963056 has 60 divisors (see below), whose sum is σ = 376772760. Its totient is φ = 44432640.

The previous prime is 133963033. The next prime is 133963073. The reversal of 133963056 is 650369331.

133963056 is a `hidden beast` number, since 13 + 3 + 9 + 630 + 5 + 6 = 666.

It is a super-2 number, since 2×1339630562 = 35892200745718272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133963056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28180 + ... + 32588.

It is an arithmetic number, because the mean of its divisors is an integer number (6279546).

Almost surely, 2133963056 is an apocalyptic number.

133963056 is a gapful number since it is divisible by the number (16) 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 133963056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188386380).

133963056 is an abundant number, since it is smaller than the sum of its proper divisors (242809704).

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

133963056 is a wasteful number, since it uses less digits than its factorization.

133963056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 133963056 is about 11574.2410550325. The cubic root of 133963056 is about 511.6759627709.

The spelling of 133963056 in words is "one hundred thirty-three million, nine hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 4409 5064 7596 8818 10128 13227 15192 17636 26454 30384 35272 39681 52908 70544 79362 105816 158724 211632 317448 634896 930299 1860598 2790897 3721196 5581794 7442392 8372691 11163588 14884784 16745382 22327176 33490764 44654352 66981528 133963056