Search a number
-
+
165828840 = 23351381907
BaseRepresentation
bin10011110001001…
…01100011101000
3102120000222101220
421320211203220
5314423010330
624242142040
74052344002
oct1170454350
9376028356
10165828840
1185673731
1247651920
1328481898
1418049372
15e859710
hex9e258e8

165828840 has 32 divisors (see below), whose sum is σ = 497486880. Its totient is φ = 44220992.

The previous prime is 165828811. The next prime is 165828841. The reversal of 165828840 is 48828561.

It is a junction number, because it is equal to n+sod(n) for n = 165828792 and 165828801.

It is not an unprimeable number, because it can be changed into a prime (165828841) 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 7 ways as a sum of consecutive naturals, for example, 690834 + ... + 691073.

It is an arithmetic number, because the mean of its divisors is an integer number (15546465).

Almost surely, 2165828840 is an apocalyptic number.

165828840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165828840 is an abundant number, since it is smaller than the sum of its proper divisors (331658040).

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

165828840 is a wasteful number, since it uses less digits than its factorization.

165828840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381921 (or 1381917 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 165828840 is about 12877.4547174510. The cubic root of 165828840 is about 549.3975110527.

The spelling of 165828840 in words is "one hundred sixty-five million, eight hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1381907 2763814 4145721 5527628 6909535 8291442 11055256 13819070 16582884 20728605 27638140 33165768 41457210 55276280 82914420 165828840