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192481920 = 273454779
BaseRepresentation
bin10110111100100…
…00101010000000
3111102012002120000
423132100222000
5343233410140
631033320000
74525032531
oct1336205200
9442162500
10192481920
1199718574
1254566000
1330b54337
141b7c6688
1511d71a30
hexb790a80

192481920 has 320 divisors, whose sum is σ = 710899200. Its totient is φ = 49600512.

The previous prime is 192481907. The next prime is 192481981. The reversal of 192481920 is 29184291.

192481920 is a `hidden beast` number, since 1 + 92 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436441 + ... + 2436519.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2192481920 is an apocalyptic number.

192481920 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 192481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

192481920 is an abundant number, since it is smaller than the sum of its proper divisors (518417280).

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

192481920 is an equidigital number, since it uses as much as digits as its factorization.

192481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 192481920 is about 13873.7853522389. The cubic root of 192481920 is about 577.3820977051.

The spelling of 192481920 in words is "one hundred ninety-two million, four hundred eighty-one thousand, nine hundred twenty".