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15680112 = 2437232029
BaseRepresentation
bin111011110100…
…001001110000
31002111122001220
4323310021300
513003230422
61320025040
7250164420
oct73641160
932448056
1015680112
11893a778
125302180
133330096
142122480
15159ae5c
hexef4270

15680112 has 80 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 4283136.

The previous prime is 15680087. The next prime is 15680117. The reversal of 15680112 is 21108651.

15680112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15680117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (604128).

Almost surely, 215680112 is an apocalyptic number.

15680112 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 15680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

15680112 is an abundant number, since it is smaller than the sum of its proper divisors (32650128).

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

15680112 is a wasteful number, since it uses less digits than its factorization.

15680112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 15680112 is about 3959.8121167550. The cubic root of 15680112 is about 250.2935857613.

Adding to 15680112 its reverse (21108651), we get a palindrome (36788763).

The spelling of 15680112 in words is "fifteen million, six hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2029 2576 3864 4058 6087 7728 8116 12174 14203 16232 24348 28406 32464 42609 46667 48696 56812 85218 93334 97392 113624 140001 170436 186668 227248 280002 326669 340872 373336 560004 653338 681744 746672 980007 1120008 1306676 1960014 2240016 2613352 3920028 5226704 7840056 15680112