Search a number
-
+
192748920 = 233571319929
BaseRepresentation
bin10110111110100…
…01110101111000
3111102200122210220
423133101311320
5343320431140
631043140040
74530224130
oct1337216570
9442618726
10192748920
1199890131
1254674620
1330c18a20
141b855ac0
1511dc5bd0
hexb7d1d78

192748920 has 256 divisors, whose sum is σ = 749952000. Its totient is φ = 38486016.

The previous prime is 192748909. The next prime is 192748921. The reversal of 192748920 is 29847291.

It is a super-2 number, since 2×1927489202 = 74304292322332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192748921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207016 + ... + 207944.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2192748920 is an apocalyptic number.

192748920 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 192748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

192748920 is an abundant number, since it is smaller than the sum of its proper divisors (557203080).

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

192748920 is a wasteful number, since it uses less digits than its factorization.

192748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 192748920 is about 13883.4044816104. The cubic root of 192748920 is about 577.6489449217.

The spelling of 192748920 in words is "one hundred ninety-two million, seven hundred forty-eight thousand, nine hundred twenty".