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190885968 = 243272132081
BaseRepresentation
bin10110110000010…
…11000001010000
3111022012000022200
423120023001100
5342331322333
630535203200
74505334600
oct1330130120
9438160280
10190885968
11988284a9
1253b16500
1330715aa0
141b4ccc00
1511b58c13
hexb60b050

190885968 has 180 divisors, whose sum is σ = 669558708. Its totient is φ = 50319360.

The previous prime is 190885957. The next prime is 190885991. The reversal of 190885968 is 869588091.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 142277184 = 6972^2 + 11928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90688 + ... + 92768.

Almost surely, 2190885968 is an apocalyptic number.

190885968 is a gapful number since it is divisible by the number (18) 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 190885968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334779354).

190885968 is an abundant number, since it is smaller than the sum of its proper divisors (478672740).

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

190885968 is a wasteful number, since it uses less digits than its factorization.

190885968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 190885968 is about 13816.1488121690. The cubic root of 190885968 is about 575.7818908004.

The spelling of 190885968 in words is "one hundred ninety million, eight hundred eighty-five thousand, nine hundred sixty-eight".