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133682670 = 2335111923103
BaseRepresentation
bin1111111011111…
…01010111101110
3100022112210011000
413331331113232
5233210321140
621133141130
73212166252
oct775752756
9308483130
10133682670
1169507850
123892a7a6
1321907a94
1413a7c262
15bb09a30
hex7f7d5ee

133682670 has 256 divisors, whose sum is σ = 431308800. Its totient is φ = 29082240.

The previous prime is 133682639. The next prime is 133682671. The reversal of 133682670 is 76286331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133682671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1297839 + ... + 1297941.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2133682670 is an apocalyptic number.

133682670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133682670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

133682670 is an abundant number, since it is smaller than the sum of its proper divisors (297626130).

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

133682670 is a wasteful number, since it uses less digits than its factorization.

133682670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133682670 is about 11562.1222100443. The cubic root of 133682670 is about 511.3187324772.

The spelling of 133682670 in words is "one hundred thirty-three million, six hundred eighty-two thousand, six hundred seventy".