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192141072 = 243717219
BaseRepresentation
bin10110111001111…
…01011100010000
3111101112210000000
423130331130100
5343142003242
631022130000
74522113024
oct1334753420
9441483000
10192141072
1199505482
1254420900
1330a65156
141b738384
1511d05a4c
hexb73d710

192141072 has 240 divisors, whose sum is σ = 624315200. Its totient is φ = 57106944.

The previous prime is 192141023. The next prime is 192141073. The reversal of 192141072 is 270141291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (192141073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10112679 + ... + 10112697.

Almost surely, 2192141072 is an apocalyptic number.

192141072 is a gapful number since it is divisible by the number (12) 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 192141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312157600).

192141072 is an abundant number, since it is smaller than the sum of its proper divisors (432174128).

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

192141072 is an equidigital number, since it uses as much as digits as its factorization.

192141072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 192141072 is about 13861.4960231571. The cubic root of 192141072 is about 577.0410859151.

The spelling of 192141072 in words is "one hundred ninety-two million, one hundred forty-one thousand, seventy-two".