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133564284 = 22327530017
BaseRepresentation
bin1111111011000…
…00011101111100
3100022022202202100
413331200131330
5233143024114
621130425100
73211164150
oct775403574
9308282670
10133564284
1169436907
1238892190
1321895c29
1413a4b060
15bad4909
hex7f6077c

133564284 has 36 divisors (see below), whose sum is σ = 385853104. Its totient is φ = 38161152.

The previous prime is 133564283. The next prime is 133564309. The reversal of 133564284 is 482465331.

133564284 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 642 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133564283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 264757 + ... + 265260.

Almost surely, 2133564284 is an apocalyptic number.

133564284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133564284 is an abundant number, since it is smaller than the sum of its proper divisors (252288820).

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

133564284 is a wasteful number, since it uses less digits than its factorization.

133564284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530034 (or 530029 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 133564284 is about 11557.0015142337. The cubic root of 133564284 is about 511.1677509100.

The spelling of 133564284 in words is "one hundred thirty-three million, five hundred sixty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 530017 1060034 1590051 2120068 3180102 3710119 4770153 6360204 7420238 9540306 11130357 14840476 19080612 22260714 33391071 44521428 66782142 133564284