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163001920 = 2652322147
BaseRepresentation
bin10011011011100…
…11011001000000
3102100201100121011
421231303121000
5313212030140
624101410304
74016331154
oct1155633100
9370640534
10163001920
1184012834
1246709994
1327a01c53
1417911064
15e49bcea
hex9b73640

163001920 has 56 divisors (see below), whose sum is σ = 405042624. Its totient is φ = 62363136.

The previous prime is 163001887. The next prime is 163001921. The reversal of 163001920 is 29100361.

It is a junction number, because it is equal to n+sod(n) for n = 163001891 and 163001900.

It is not an unprimeable number, because it can be changed into a prime (163001921) 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, 3714 + ... + 18433.

It is an arithmetic number, because the mean of its divisors is an integer number (7232904).

Almost surely, 2163001920 is an apocalyptic number.

163001920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163001920 is an abundant number, since it is smaller than the sum of its proper divisors (242040704).

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

163001920 is a wasteful number, since it uses less digits than its factorization.

163001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22187 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 163001920 is about 12767.2205275855. The cubic root of 163001920 is about 546.2577019268.

The spelling of 163001920 in words is "one hundred sixty-three million, one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 22147 44294 88588 110735 177176 221470 354352 442940 509381 708704 885880 1018762 1417408 1771760 2037524 2546905 3543520 4075048 5093810 7087040 8150096 10187620 16300192 20375240 32600384 40750480 81500960 163001920