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192960090 = 23355912113
BaseRepresentation
bin10111000000001…
…01011001011010
3111110002101111000
423200011121122
5343344210330
631051445430
74532063601
oct1340053132
9443071430
10192960090
1199a14854
1254756876
1330c90b8b
141b8aca38
1511e18560
hexb80565a

192960090 has 64 divisors (see below), whose sum is σ = 523324800. Its totient is φ = 50579712.

The previous prime is 192960083. The next prime is 192960101. The reversal of 192960090 is 90069291.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9874 + ... + 21986.

It is an arithmetic number, because the mean of its divisors is an integer number (8176950).

Almost surely, 2192960090 is an apocalyptic number.

192960090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 192960090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261662400).

192960090 is an abundant number, since it is smaller than the sum of its proper divisors (330364710).

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

192960090 is a wasteful number, since it uses less digits than its factorization.

192960090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 192960090 is about 13891.0075228545. The cubic root of 192960090 is about 577.8598196149.

The spelling of 192960090 in words is "one hundred ninety-two million, nine hundred sixty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3186 5310 7965 12113 15930 24226 36339 60565 72678 109017 121130 181695 218034 327051 363390 545085 654102 714667 1090170 1429334 1635255 2144001 3270510 3573335 4288002 6432003 7146670 10720005 12864006 19296009 21440010 32160015 38592018 64320030 96480045 192960090