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190640112 = 24313271331
BaseRepresentation
bin10110101110011…
…10111111110000
3111021201112001220
423113032333300
5342300440422
630530025040
74503262035
oct1327167760
9437645056
10190640112
119867a813
1253a18180
133065ac00
141b46738c
1511b0ae5c
hexb5ceff0

190640112 has 120 divisors (see below), whose sum is σ = 542429568. Its totient is φ = 57657600.

The previous prime is 190640101. The next prime is 190640137. The reversal of 190640112 is 211046091.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575787 + ... + 576117.

Almost surely, 2190640112 is an apocalyptic number.

190640112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271214784).

190640112 is an abundant number, since it is smaller than the sum of its proper divisors (351789456).

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

190640112 is a wasteful number, since it uses less digits than its factorization.

190640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 190640112 is about 13807.2485311158. The cubic root of 190640112 is about 575.5345873929.

The spelling of 190640112 in words is "one hundred ninety million, six hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 169 208 213 284 312 331 338 426 507 568 624 662 676 852 923 993 1014 1136 1324 1352 1704 1846 1986 2028 2648 2704 2769 3408 3692 3972 4056 4303 5296 5538 7384 7944 8112 8606 11076 11999 12909 14768 15888 17212 22152 23501 23998 25818 34424 35997 44304 47002 47996 51636 55939 68848 70503 71994 94004 95992 103272 111878 141006 143988 167817 188008 191984 206544 223756 282012 287976 305513 335634 376016 447512 564024 575952 611026 671268 895024 916539 1128048 1222052 1342536 1833078 2444104 2685072 3666156 3971669 4888208 7332312 7943338 11915007 14664624 15886676 23830014 31773352 47660028 63546704 95320056 190640112