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13155966 = 2332931271
BaseRepresentation
bin110010001011…
…111001111110
3220202101121000
4302023321332
511331442331
61145551130
7216552405
oct62137176
926671530
1013155966
1174762aa
1244a54a6
1329581c5
141a6663c
15124d0e6
hexc8be7e

13155966 has 64 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 4082400.

The previous prime is 13155959. The next prime is 13156001. The reversal of 13155966 is 66955131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13155966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48411 + ... + 48681.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 213155966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13155966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

13155966 is an abundant number, since it is smaller than the sum of its proper divisors (18178434).

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

13155966 is a wasteful number, since it uses less digits than its factorization.

13155966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 13155966 is about 3627.1153827801. The cubic root of 13155966 is about 236.0700620290.

The spelling of 13155966 in words is "thirteen million, one hundred fifty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 271 279 522 542 558 783 813 837 899 1566 1626 1674 1798 2439 2697 4878 5394 7317 7859 8091 8401 14634 15718 16182 16802 23577 24273 25203 47154 48546 50406 70731 75609 141462 151218 212193 226827 243629 424386 453654 487258 730887 1461774 2192661 4385322 6577983 13155966