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133833996 = 223217379577
BaseRepresentation
bin1111111101000…
…10010100001100
3100022211110201200
413332202110030
5233230141441
621140305500
73213366402
oct776422414
9308743650
10133833996
116960050a
12389a2290
132195b91a
1413abb472
15bb397b6
hex7fa250c

133833996 has 72 divisors (see below), whose sum is σ = 359770320. Its totient is φ = 41803776.

The previous prime is 133833991. The next prime is 133834003. The reversal of 133833996 is 699338331.

It is not an unprimeable number, because it can be changed into a prime (133833991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231660 + ... + 232236.

It is an arithmetic number, because the mean of its divisors is an integer number (4996810).

Almost surely, 2133833996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133833996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885160).

133833996 is an abundant number, since it is smaller than the sum of its proper divisors (225936324).

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

133833996 is a wasteful number, since it uses less digits than its factorization.

133833996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 133833996 is about 11568.6644000075. The cubic root of 133833996 is about 511.5115937781.

The spelling of 133833996 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 379 577 612 758 1137 1154 1516 1731 2274 2308 3411 3462 4548 5193 6443 6822 6924 9809 10386 12886 13644 19329 19618 20772 25772 29427 38658 39236 57987 58854 77316 88281 115974 117708 176562 218683 231948 353124 437366 656049 874732 1312098 1968147 2624196 3717611 3936294 7435222 7872588 11152833 14870444 22305666 33458499 44611332 66916998 133833996