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133360047 = 33311371163
BaseRepresentation
bin1111111001011…
…10100110101111
3100021221101121000
413330232212233
5233120010142
621122211343
73206353542
oct774564657
9307841530
10133360047
1169307417
12387b3b53
1321823c92
14139d6859
15ba9414c
hex7f2e9af

133360047 has 32 divisors (see below), whose sum is σ = 205608960. Its totient is φ = 85337280.

The previous prime is 133360043. The next prime is 133360063. The reversal of 133360047 is 740063331.

It is a happy number.

133360047 is a `hidden beast` number, since 13 + 3 + 3 + 600 + 47 = 666.

It is not a de Polignac number, because 133360047 - 22 = 133360043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133360047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133360043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114088 + ... + 115250.

It is an arithmetic number, because the mean of its divisors is an integer number (6425280).

Almost surely, 2133360047 is an apocalyptic number.

133360047 is a deficient number, since it is larger than the sum of its proper divisors (72248913).

133360047 is a wasteful number, since it uses less digits than its factorization.

133360047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133360047 is about 11548.1620615577. The cubic root of 133360047 is about 510.9070708753.

The spelling of 133360047 in words is "one hundred thirty-three million, three hundred sixty thousand, forty-seven".

Divisors: 1 3 9 27 31 93 137 279 411 837 1163 1233 3489 3699 4247 10467 12741 31401 36053 38223 108159 114669 159331 324477 477993 973431 1433979 4301937 4939261 14817783 44453349 133360047