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165678942 = 231113316229
BaseRepresentation
bin10011110000000…
…00111101011110
3102112202100210010
421320000331132
5314403211232
624235024050
74051150662
oct1170007536
9375670703
10165678942
1185581050
124759b026
132842b5a0
141800a8a2
15e82a0cc
hex9e00f5e

165678942 has 64 divisors (see below), whose sum is σ = 401909760. Its totient is φ = 44841600.

The previous prime is 165678941. The next prime is 165678971. The reversal of 165678942 is 249876561.

165678942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165678891 and 165678900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165678941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23484 + ... + 29712.

It is an arithmetic number, because the mean of its divisors is an integer number (6279840).

Almost surely, 2165678942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165678942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200954880).

165678942 is an abundant number, since it is smaller than the sum of its proper divisors (236230818).

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

165678942 is a wasteful number, since it uses less digits than its factorization.

165678942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289.

The product of its digits is 725760, while the sum is 48.

The square root of 165678942 is about 12871.6332297032. The cubic root of 165678942 is about 549.2319218131.

The spelling of 165678942 in words is "one hundred sixty-five million, six hundred seventy-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 2046 2418 4433 6229 8866 12458 13299 18687 26598 37374 68519 80977 137038 161954 193099 205557 242931 386198 411114 485862 579297 890747 1158594 1781494 2124089 2510287 2672241 4248178 5020574 5344482 6372267 7530861 12744534 15061722 27613157 55226314 82839471 165678942