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165380388 = 223294167173
BaseRepresentation
bin10011101101110…
…00000100100100
3102112012012020120
421312320010210
5314314133023
624224401540
74045465365
oct1166700444
9375165216
10165380388
1185397808
12474762b0
1328355724
1417d6db6c
15e7bb8e3
hex9db8124

165380388 has 96 divisors (see below), whose sum is σ = 417432960. Its totient is φ = 50856960.

The previous prime is 165380387. The next prime is 165380399. The reversal of 165380388 is 883083561.

165380388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165380387) 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, 955870 + ... + 956042.

It is an arithmetic number, because the mean of its divisors is an integer number (4348260).

Almost surely, 2165380388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165380388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208716480).

165380388 is an abundant number, since it is smaller than the sum of its proper divisors (252052572).

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

165380388 is a wasteful number, since it uses less digits than its factorization.

165380388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 165380388 is about 12860.0306375996. The cubic root of 165380388 is about 548.9018175390.

The spelling of 165380388 in words is "one hundred sixty-five million, three hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 67 82 87 116 123 134 164 173 174 201 246 268 346 348 402 492 519 692 804 1038 1189 1943 2076 2378 2747 3567 3886 4756 5017 5494 5829 7093 7134 7772 8241 10034 10988 11591 11658 14186 14268 15051 16482 20068 21279 23182 23316 28372 30102 32964 34773 42558 46364 60204 69546 79663 85116 139092 159326 205697 238989 318652 336139 411394 475231 477978 617091 672278 822788 950462 955956 1008417 1234182 1344556 1425693 1900924 2016834 2468364 2851386 4033668 5702772 13781699 27563398 41345097 55126796 82690194 165380388