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165380520 = 23357611811
BaseRepresentation
bin10011101101110…
…00000110101000
3102112012012102110
421312320012220
5314314134040
624224402320
74045465644
oct1166700650
9375165373
10165380520
1185397918
12474763a0
13283557c6
1417d6dc24
15e7bb980
hex9db81a8

165380520 has 64 divisors (see below), whose sum is σ = 497067840. Its totient is φ = 44019200.

The previous prime is 165380507. The next prime is 165380521. The reversal of 165380520 is 25083561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (165380521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90415 + ... + 92225.

It is an arithmetic number, because the mean of its divisors is an integer number (7766685).

Almost surely, 2165380520 is an apocalyptic number.

165380520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165380520 is an abundant number, since it is smaller than the sum of its proper divisors (331687320).

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

165380520 is a wasteful number, since it uses less digits than its factorization.

165380520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 165380520 is about 12860.0357697792. The cubic root of 165380520 is about 548.9019635761.

The spelling of 165380520 in words is "one hundred sixty-five million, three hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 761 1522 1811 2283 3044 3622 3805 4566 5433 6088 7244 7610 9055 9132 10866 11415 14488 15220 18110 18264 21732 22830 27165 30440 36220 43464 45660 54330 72440 91320 108660 217320 1378171 2756342 4134513 5512684 6890855 8269026 11025368 13781710 16538052 20672565 27563420 33076104 41345130 55126840 82690260 165380520