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190592128 = 2711313177
BaseRepresentation
bin10110101110000…
…11010010000000
3111021122002020201
423113003102000
5342242422003
630525014544
74503002116
oct1327032200
9437562221
10190592128
1198647761
12539b4454
133064210c
141b453ab6
1511aebb1d
hexb5c3480

190592128 has 32 divisors (see below), whose sum is σ = 383084460. Its totient is φ = 94445568.

The previous prime is 190592119. The next prime is 190592141. The reversal of 190592128 is 821295091.

190592128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178703424 + 11888704 = 13368^2 + 3448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7876 + ... + 21052.

Almost surely, 2190592128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191542230).

190592128 is an abundant number, since it is smaller than the sum of its proper divisors (192492332).

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

190592128 is a wasteful number, since it uses less digits than its factorization.

190592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 190592128 is about 13805.5107837414. The cubic root of 190592128 is about 575.4862961061.

The spelling of 190592128 in words is "one hundred ninety million, five hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 13177 14464 26354 52708 105416 210832 421664 843328 1489001 1686656 2978002 5956004 11912008 23824016 47648032 95296064 190592128