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190075361 = 725097621
BaseRepresentation
bin10110101010001…
…01000111100001
3111020122211101012
423111011013201
5342124402421
630505550305
74465420400
oct1325050741
9436584335
10190075361
1198324483
12537a5395
13304c0b38
141b35b637
1511a4895b
hexb5451e1

190075361 has 12 divisors (see below), whose sum is σ = 221571540. Its totient is φ = 162580320.

The previous prime is 190075349. The next prime is 190075363. The reversal of 190075361 is 163570091.

It can be written as a sum of positive squares in 2 ways, for example, as 161772961 + 28302400 = 12719^2 + 5320^2 .

It is not a de Polignac number, because 190075361 - 222 = 185881057 is a prime.

It is a super-3 number, since 3×1900753613 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (190075363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21131 + ... + 28751.

It is an arithmetic number, because the mean of its divisors is an integer number (18464295).

Almost surely, 2190075361 is an apocalyptic number.

It is an amenable number.

190075361 is a deficient number, since it is larger than the sum of its proper divisors (31496179).

190075361 is an equidigital number, since it uses as much as digits as its factorization.

190075361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 190075361 is about 13786.7821118635. The cubic root of 190075361 is about 574.9657053270.

The spelling of 190075361 in words is "one hundred ninety million, seventy-five thousand, three hundred sixty-one".

Divisors: 1 7 49 509 3563 7621 24941 53347 373429 3879089 27153623 190075361