Search a number
-
+
163645920 = 253652361
BaseRepresentation
bin10011100000100…
…00100111100000
3102101221002000000
421300100213200
5313343132140
624123300000
74024652544
oct1160204740
9371832000
10163645920
1184412669
124697a600
1327b99109
1417a3ba24
15e577a30
hex9c109e0

163645920 has 336 divisors, whose sum is σ = 614773152. Its totient is φ = 41057280.

The previous prime is 163645913. The next prime is 163645921. The reversal of 163645920 is 29546361.

It is a happy number.

163645920 is a `hidden beast` number, since 1 + 6 + 3 + 64 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163645921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2682690 + ... + 2682750.

It is an arithmetic number, because the mean of its divisors is an integer number (1829682).

Almost surely, 2163645920 is an apocalyptic number.

163645920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307386576).

163645920 is an abundant number, since it is smaller than the sum of its proper divisors (451127232).

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

163645920 is an equidigital number, since it uses as much as digits as its factorization.

163645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 163645920 is about 12792.4165035383. The cubic root of 163645920 is about 546.9761549808.

The spelling of 163645920 in words is "one hundred sixty-three million, six hundred forty-five thousand, nine hundred twenty".