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133833696 = 2533144971
BaseRepresentation
bin1111111101000…
…10001111100000
3100022211110022120
413332202033200
5233230134241
621140304240
73213365463
oct776421740
9308743276
10133833696
1169600267
12389a2080
132195b749
1413abb2da
15bb39666
hex7fa23e0

133833696 has 48 divisors (see below), whose sum is σ = 362654208. Its totient is φ = 43171200.

The previous prime is 133833691. The next prime is 133833703. The reversal of 133833696 is 696338331.

133833696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1338336962 = 35822916370040832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133833691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19510 + ... + 25461.

It is an arithmetic number, because the mean of its divisors is an integer number (7555296).

Almost surely, 2133833696 is an apocalyptic number.

133833696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133833696 is an abundant number, since it is smaller than the sum of its proper divisors (228820512).

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

133833696 is a wasteful number, since it uses less digits than its factorization.

133833696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45015 (or 45007 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 133833696 is about 11568.6514339399. The cubic root of 133833696 is about 511.5112115792.

The spelling of 133833696 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 44971 89942 134913 179884 269826 359768 539652 719536 1079304 1394101 1439072 2158608 2788202 4182303 4317216 5576404 8364606 11152808 16729212 22305616 33458424 44611232 66916848 133833696