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133279056 = 24321994651
BaseRepresentation
bin1111111000110…
…10110101010000
3100021210021111100
413330122311100
5233104412211
621120344400
73205565451
oct774326520
9307707440
10133279056
1169261589
1238775100
13217c6161
14139b5128
15ba7a156
hex7f1ad50

133279056 has 60 divisors (see below), whose sum is σ = 374951200. Its totient is φ = 44193600.

The previous prime is 133279049. The next prime is 133279057. The reversal of 133279056 is 650972331.

It is a super-2 number, since 2×1332790562 = 35526613536502272, 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 133279056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133279057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26331 + ... + 30981.

Almost surely, 2133279056 is an apocalyptic number.

133279056 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 133279056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187475600).

133279056 is an abundant number, since it is smaller than the sum of its proper divisors (241672144).

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

133279056 is a wasteful number, since it uses less digits than its factorization.

133279056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 133279056 is about 11544.6548670803. The cubic root of 133279056 is about 510.8036234662.

The spelling of 133279056 in words is "one hundred thirty-three million, two hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4651 4776 7164 9302 9552 13953 14328 18604 27906 28656 37208 41859 55812 74416 83718 111624 167436 223248 334872 669744 925549 1851098 2776647 3702196 5553294 7404392 8329941 11106588 14808784 16659882 22213176 33319764 44426352 66639528 133279056