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165065742 = 23315831931
BaseRepresentation
bin10011101011010…
…11010000001110
3102111121012122000
421311223100032
5314224100432
624213533130
74043015142
oct1165532016
9374535560
10165065742
11851a2376
12473441a6
132827544a
1417ccb222
15e75857c
hex9d6b40e

165065742 has 32 divisors (see below), whose sum is σ = 367234560. Its totient is φ = 54958680.

The previous prime is 165065741. The next prime is 165065783. The reversal of 165065742 is 247560561.

It is a happy number.

165065742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 165065697 and 165065706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165065741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84517 + ... + 86447.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2165065742 is an apocalyptic number.

165065742 is an abundant number, since it is smaller than the sum of its proper divisors (202168818).

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

165065742 is a wasteful number, since it uses less digits than its factorization.

165065742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 165065742 is about 12847.7913276952. The cubic root of 165065742 is about 548.5534904500.

The spelling of 165065742 in words is "one hundred sixty-five million, sixty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1583 1931 3166 3862 4749 5793 9498 11586 14247 17379 28494 34758 42741 52137 85482 104274 3056773 6113546 9170319 18340638 27510957 55021914 82532871 165065742