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133685604 = 223213331863
BaseRepresentation
bin1111111011111…
…10000101100100
3100022112221011200
413331332011210
5233210414404
621133202500
73212210643
oct775760544
9308487150
10133685604
1169509a78
1238930430
1321909210
1413a7d35a
15bb0a839
hex7f7e164

133685604 has 72 divisors (see below), whose sum is σ = 365444352. Its totient is φ = 40962240.

The previous prime is 133685549. The next prime is 133685627. The reversal of 133685604 is 406586331.

133685604 is a `hidden beast` number, since 1 + 33 + 68 + 560 + 4 = 666.

133685604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154477 + ... + 155339.

It is an arithmetic number, because the mean of its divisors is an integer number (5075616).

Almost surely, 2133685604 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 133685604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182722176).

133685604 is an abundant number, since it is smaller than the sum of its proper divisors (231758748).

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

133685604 is a wasteful number, since it uses less digits than its factorization.

133685604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133685604 is about 11562.2490891695. The cubic root of 133685604 is about 511.3224731720.

The spelling of 133685604 in words is "one hundred thirty-three million, six hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 331 468 662 863 993 1324 1726 1986 2589 2979 3452 3972 4303 5178 5958 7767 8606 10356 11219 11916 12909 15534 17212 22438 25818 31068 33657 38727 44876 51636 67314 77454 100971 134628 154908 201942 285653 403884 571306 856959 1142612 1713918 2570877 3427836 3713489 5141754 7426978 10283508 11140467 14853956 22280934 33421401 44561868 66842802 133685604