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133961022 = 232134113963
BaseRepresentation
bin1111111110000…
…01010100111110
3100100001220222100
413333001110332
5233243223042
621143125530
73214435626
oct777012476
9310056870
10133961022
1169687998
1238a438a6
13219a46a0
1413b11886
15bb6224c
hex7fc153e

133961022 has 48 divisors (see below), whose sum is σ = 320222448. Its totient is φ = 40210560.

The previous prime is 133961021. The next prime is 133961027. The reversal of 133961022 is 220169331.

133961022 is a `hidden beast` number, since 13 + 39 + 610 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133961021) 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 23 ways as a sum of consecutive naturals, for example, 2613 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (6671301).

Almost surely, 2133961022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133961022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160111224).

133961022 is an abundant number, since it is smaller than the sum of its proper divisors (186261426).

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

133961022 is a wasteful number, since it uses less digits than its factorization.

133961022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 133961022 is about 11574.1531871667. The cubic root of 133961022 is about 511.6733731162.

The spelling of 133961022 in words is "one hundred thirty-three million, nine hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 13963 27926 41889 83778 125667 181519 251334 363038 544557 572483 1089114 1144966 1633671 1717449 3267342 3434898 5152347 7442279 10304694 14884558 22326837 44653674 66980511 133961022