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192039140 = 225175310657
BaseRepresentation
bin10110111001001…
…00100011100100
3111101100121011202
423130210203210
5343130223030
631020022032
74521206606
oct1334444344
9441317152
10192039140
1199445937
1254391918
1330a2a937
141b70d176
1511cd5745
hexb7248e4

192039140 has 48 divisors (see below), whose sum is σ = 435102192. Its totient is φ = 70926336.

The previous prime is 192039109. The next prime is 192039151. The reversal of 192039140 is 41930291.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1378276 + 190660864 = 1174^2 + 13808^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12692 + ... + 23348.

It is an arithmetic number, because the mean of its divisors is an integer number (9064629).

Almost surely, 2192039140 is an apocalyptic number.

192039140 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 192039140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217551096).

192039140 is an abundant number, since it is smaller than the sum of its proper divisors (243063052).

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

192039140 is a wasteful number, since it uses less digits than its factorization.

192039140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 192039140 is about 13857.8187316764. The cubic root of 192039140 is about 576.9390266041.

The spelling of 192039140 in words is "one hundred ninety-two million, thirty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 10657 18020 21314 42628 53285 106570 181169 213140 362338 564821 724676 905845 1129642 1811690 2259284 2824105 3623380 5648210 9601957 11296420 19203914 38407828 48009785 96019570 192039140