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165142440 = 23325458729
BaseRepresentation
bin10011101011111…
…01111110101000
3102111202002211200
421311331332220
5314234024230
624215324200
74043454561
oct1165757650
9374662750
10165142440
1185244a61
1247380660
13282a1328
1417d0b168
15e771160
hex9d7dfa8

165142440 has 48 divisors (see below), whose sum is σ = 536714100. Its totient is φ = 44037888.

The previous prime is 165142423. The next prime is 165142441. The reversal of 165142440 is 44241561.

165142440 is a `hidden beast` number, since 1 + 651 + 4 + 2 + 4 + 4 + 0 = 666.

165142440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151437636 + 13704804 = 12306^2 + 3702^2 .

It is not an unprimeable number, because it can be changed into a prime (165142441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229005 + ... + 229724.

Almost surely, 2165142440 is an apocalyptic number.

165142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165142440 is an abundant number, since it is smaller than the sum of its proper divisors (371571660).

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

165142440 is a wasteful number, since it uses less digits than its factorization.

165142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458746 (or 458739 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 165142440 is about 12850.7758520643. The cubic root of 165142440 is about 548.6384393121.

The spelling of 165142440 in words is "one hundred sixty-five million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 458729 917458 1376187 1834916 2293645 2752374 3669832 4128561 4587290 5504748 6880935 8257122 9174580 11009496 13761870 16514244 18349160 20642805 27523740 33028488 41285610 55047480 82571220 165142440