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192831980 = 225116114369
BaseRepresentation
bin10110111111001…
…10000111101100
3111102211212202012
423133212013230
5343331110410
631045020352
74531021235
oct1337460754
9442755665
10192831980
1199937580
12546b46b8
1330c47783
141b87808c
1511de0605
hexb7e61ec

192831980 has 48 divisors (see below), whose sum is σ = 449033760. Its totient is φ = 68966400.

The previous prime is 192831949. The next prime is 192832039. The reversal of 192831980 is 89138291.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6236 + ... + 20604.

It is an arithmetic number, because the mean of its divisors is an integer number (9354870).

Almost surely, 2192831980 is an apocalyptic number.

192831980 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 192831980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224516880).

192831980 is an abundant number, since it is smaller than the sum of its proper divisors (256201780).

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

192831980 is a wasteful number, since it uses less digits than its factorization.

192831980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 192831980 is about 13886.3955006330. The cubic root of 192831980 is about 577.7319071353.

The spelling of 192831980 in words is "one hundred ninety-two million, eight hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 14369 28738 57476 71845 143690 158059 287380 316118 632236 790295 876509 1580590 1753018 3161180 3506036 4382545 8765090 9641599 17530180 19283198 38566396 48207995 96415990 192831980