Search a number
-
+
190275120 = 243257191987
BaseRepresentation
bin10110101011101…
…01111000110000
3111021000222101200
423111311320300
5342202300440
630514131200
74500211650
oct1325657060
9437028350
10190275120
1198450572
1253880b00
1330560a39
141b3b0360
1511a87c30
hexb575e30

190275120 has 240 divisors, whose sum is σ = 769117440. Its totient is φ = 41181696.

The previous prime is 190275097. The next prime is 190275143. The reversal of 190275120 is 21572091.

It is an interprime number because it is at equal distance from previous prime (190275097) and next prime (190275143).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94767 + ... + 96753.

It is an arithmetic number, because the mean of its divisors is an integer number (3204656).

Almost surely, 2190275120 is an apocalyptic number.

190275120 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 190275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384558720).

190275120 is an abundant number, since it is smaller than the sum of its proper divisors (578842320).

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

190275120 is a wasteful number, since it uses less digits than its factorization.

190275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 190275120 is about 13794.0247933661. The cubic root of 190275120 is about 575.1670541707.

The spelling of 190275120 in words is "one hundred ninety million, two hundred seventy-five thousand, one hundred twenty".