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190073961 = 32711274277
BaseRepresentation
bin10110101010001…
…00110001101001
3111020122202110100
423111010301221
5342124331321
630505540013
74465413330
oct1325046151
9436582410
10190073961
1198323420
12537a4609
13304c02cc
141b35ad17
1511a48326
hexb544c69

190073961 has 24 divisors (see below), whose sum is σ = 342298944. Its totient is φ = 98739360.

The previous prime is 190073959. The next prime is 190073971. The reversal of 190073961 is 169370091.

It is not a de Polignac number, because 190073961 - 21 = 190073959 is a prime.

It is a super-2 number, since 2×1900739612 = 72256221300459042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (190073911) 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 23 ways as a sum of consecutive naturals, for example, 136446 + ... + 137831.

It is an arithmetic number, because the mean of its divisors is an integer number (14262456).

Almost surely, 2190073961 is an apocalyptic number.

190073961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

190073961 is a deficient number, since it is larger than the sum of its proper divisors (152224983).

190073961 is a wasteful number, since it uses less digits than its factorization.

190073961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274301 (or 274298 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 190073961 is about 13786.7313385008. The cubic root of 190073961 is about 574.9642936870.

The spelling of 190073961 in words is "one hundred ninety million, seventy-three thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 274277 822831 1919939 2468493 3017047 5759817 9051141 17279451 21119329 27153423 63357987 190073961