Search a number
-
+
165293984 = 2531166627
BaseRepresentation
bin10011101101000…
…10111110100000
3102112000210201102
421312202332200
5314303401414
624222453532
74044655442
oct1166427640
9375023642
10165293984
11853388a9
12474342a8
13283252bb
1417d4a492
15e7a0ede
hex9da2fa0

165293984 has 24 divisors (see below), whose sum is σ = 335922048. Its totient is φ = 79980480.

The previous prime is 165293983. The next prime is 165293993. The reversal of 165293984 is 489392561.

165293984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1652939842 = 54644202293184512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165293981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82322 + ... + 84305.

It is an arithmetic number, because the mean of its divisors is an integer number (13996752).

Almost surely, 2165293984 is an apocalyptic number.

It is an amenable number.

165293984 is an abundant number, since it is smaller than the sum of its proper divisors (170628064).

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

165293984 is a wasteful number, since it uses less digits than its factorization.

165293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166668 (or 166660 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 165293984 is about 12856.6707976832. The cubic root of 165293984 is about 548.8062085107.

The spelling of 165293984 in words is "one hundred sixty-five million, two hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 166627 333254 666508 1333016 2666032 5165437 5332064 10330874 20661748 41323496 82646992 165293984