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191479940 = 22589971109
BaseRepresentation
bin10110110100111…
…00000010000100
3111100022012002122
423122130002010
5343004324230
631000025112
74513360361
oct1332340204
9440265078
10191479940
11990a3793
1254162198
1330893252
141b605468
1511c24be5
hexb69c084

191479940 has 48 divisors (see below), whose sum is σ = 411188400. Its totient is φ = 74883072.

The previous prime is 191479919. The next prime is 191479943. The reversal of 191479940 is 49974191.

It is a happy number.

191479940 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 8 ways, for example, as 59505796 + 131974144 = 7714^2 + 11488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 191479891 and 191479900.

It is not an unprimeable number, because it can be changed into a prime (191479943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 172106 + ... + 173214.

It is an arithmetic number, because the mean of its divisors is an integer number (8566425).

Almost surely, 2191479940 is an apocalyptic number.

191479940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191479940 is an abundant number, since it is smaller than the sum of its proper divisors (219708460).

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

191479940 is a wasteful number, since it uses less digits than its factorization.

191479940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 191479940 is about 13837.6276868544. The cubic root of 191479940 is about 576.3784846891.

The spelling of 191479940 in words is "one hundred ninety-one million, four hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 89 97 178 194 356 388 445 485 890 970 1109 1780 1940 2218 4436 5545 8633 11090 17266 22180 34532 43165 86330 98701 107573 172660 197402 215146 394804 430292 493505 537865 987010 1075730 1974020 2151460 9573997 19147994 38295988 47869985 95739970 191479940