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189931940 = 225118231049
BaseRepresentation
bin10110101001000…
…10000110100100
3111020101112122022
423110202012210
5342110310230
630502522312
74464252302
oct1324420644
9436345568
10189931940
1198236750
1253736398
1330470783
141b321272
1511a1b1e5
hexb5221a4

189931940 has 48 divisors (see below), whose sum is σ = 436060800. Its totient is φ = 68916480.

The previous prime is 189931921. The next prime is 189931943. The reversal of 189931940 is 49139981.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 189931891 and 189931900.

It is not an unprimeable number, because it can be changed into a prime (189931943) 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, 180536 + ... + 181584.

It is an arithmetic number, because the mean of its divisors is an integer number (9084600).

Almost surely, 2189931940 is an apocalyptic number.

189931940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189931940 is an abundant number, since it is smaller than the sum of its proper divisors (246128860).

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

189931940 is a wasteful number, since it uses less digits than its factorization.

189931940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 189931940 is about 13781.5797352843. The cubic root of 189931940 is about 574.8210558483.

The spelling of 189931940 in words is "one hundred eighty-nine million, nine hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 823 1049 1646 2098 3292 4115 4196 5245 8230 9053 10490 11539 16460 18106 20980 23078 36212 45265 46156 57695 90530 115390 181060 230780 863327 1726654 3453308 4316635 8633270 9496597 17266540 18993194 37986388 47482985 94965970 189931940