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192128020 = 225744001
BaseRepresentation
bin10110111001110…
…10010000010100
3111101112010002121
423130322100110
5343141044040
631021545324
74522030000
oct1334722024
9441463077
10192128020
11994a6697
1254415244
1330a5c226
141b733700
1511d01c4a
hexb73a414

192128020 has 60 divisors (see below), whose sum is σ = 470803284. Its totient is φ = 65856000.

The previous prime is 192127919. The next prime is 192128029. The reversal of 192128020 is 20821291.

It can be written as a sum of positive squares in 2 ways, for example, as 32307856 + 159820164 = 5684^2 + 12642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192128029) 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 19 ways as a sum of consecutive naturals, for example, 46020 + ... + 50020.

Almost surely, 2192128020 is an apocalyptic number.

192128020 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 192128020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235401642).

192128020 is an abundant number, since it is smaller than the sum of its proper divisors (278675264).

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

192128020 is an equidigital number, since it uses as much as digits as its factorization.

192128020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 192128020 is about 13861.0252146080. The cubic root of 192128020 is about 577.0280196288.

The spelling of 192128020 in words is "one hundred ninety-two million, one hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4001 4802 6860 8002 9604 12005 16004 20005 24010 28007 40010 48020 56014 80020 112028 140035 196049 280070 392098 560140 784196 980245 1372343 1960490 2744686 3920980 5489372 6861715 9606401 13723430 19212802 27446860 38425604 48032005 96064010 192128020