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165711042 = 2337262627
BaseRepresentation
bin10011110000010…
…00110011000010
3102112210222211000
421320020303002
5314410223132
624235432430
74051343400
oct1170106302
9375728730
10165711042
11855a3182
12475b5716
1328440093
1418018470
15e83487c
hex9e08cc2

165711042 has 48 divisors (see below), whose sum is σ = 428375520. Its totient is φ = 47345256.

The previous prime is 165711037. The next prime is 165711043. The reversal of 165711042 is 240117561.

It is a happy number.

165711042 is a `hidden beast` number, since 1 + 657 + 1 + 1 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 165710997 and 165711015.

It is not an unprimeable number, because it can be changed into a prime (165711043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28668 + ... + 33959.

It is an arithmetic number, because the mean of its divisors is an integer number (8924490).

Almost surely, 2165711042 is an apocalyptic number.

165711042 is an abundant number, since it is smaller than the sum of its proper divisors (262664478).

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

165711042 is a wasteful number, since it uses less digits than its factorization.

165711042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62652 (or 62639 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 165711042 is about 12872.8800973209. The cubic root of 165711042 is about 549.2673904248.

The spelling of 165711042 in words is "one hundred sixty-five million, seven hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 62627 125254 187881 375762 438389 563643 876778 1127286 1315167 1690929 2630334 3068723 3381858 3945501 6137446 7891002 9206169 11836503 18412338 23673006 27618507 55237014 82855521 165711042