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192002320 = 24517313873
BaseRepresentation
bin10110111000110…
…11100100010000
3111101021201200001
423130123210100
5343123033240
631015135344
74520664346
oct1334334420
9441251601
10192002320
1199420204
1254374554
1330a16c53
141b6dd996
1511cc989a
hexb71b910

192002320 has 40 divisors (see below), whose sum is σ = 449018136. Its totient is φ = 76351488.

The previous prime is 192002309. The next prime is 192002329. The reversal of 192002320 is 23200291.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51437584 + 140564736 = 7172^2 + 11856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (192002329) 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, 6904 + ... + 20776.

Almost surely, 2192002320 is an apocalyptic number.

192002320 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 192002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224509068).

192002320 is an abundant number, since it is smaller than the sum of its proper divisors (257015816).

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

192002320 is a wasteful number, since it uses less digits than its factorization.

192002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14059 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 192002320 is about 13856.4901760872. The cubic root of 192002320 is about 576.9021517379.

The spelling of 192002320 in words is "one hundred ninety-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 13873 27746 55492 69365 110984 138730 221968 277460 554920 1109840 2400029 4800058 9600116 12000145 19200232 24000290 38400464 48000580 96001160 192002320