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133640934 = 23722511811
BaseRepresentation
bin1111111011100…
…11001011100110
3100022110122220020
413331303023212
5233203002214
621132220010
73211633500
oct775631346
9308418806
10133640934
1169489459
123890a606
13218c1a9b
1413a6ad70
15baec4a9
hex7f732e6

133640934 has 48 divisors (see below), whose sum is σ = 312330816. Its totient is φ = 38010000.

The previous prime is 133640921. The next prime is 133640939. The reversal of 133640934 is 439046331.

It is a junction number, because it is equal to n+sod(n) for n = 133640895 and 133640904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133640939) 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, 72889 + ... + 74699.

It is an arithmetic number, because the mean of its divisors is an integer number (6506892).

Almost surely, 2133640934 is an apocalyptic number.

133640934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133640934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156165408).

133640934 is an abundant number, since it is smaller than the sum of its proper divisors (178689882).

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

133640934 is a wasteful number, since it uses less digits than its factorization.

133640934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 133640934 is about 11560.3172101807. The cubic root of 133640934 is about 511.2655153578.

The spelling of 133640934 in words is "one hundred thirty-three million, six hundred forty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 251 294 502 753 1506 1757 1811 3514 3622 5271 5433 10542 10866 12299 12677 24598 25354 36897 38031 73794 76062 88739 177478 266217 454561 532434 909122 1363683 2727366 3181927 6363854 9545781 19091562 22273489 44546978 66820467 133640934