Search a number
-
+
15680088 = 2333229317
BaseRepresentation
bin111011110100…
…001001011000
31002111122001000
4323310021120
513003230323
61320025000
7250164354
oct73641130
932448030
1015680088
11893a756
125302160
133330078
142122464
15159ae43
hexef4258

15680088 has 64 divisors (see below), whose sum is σ = 43884000. Its totient is φ = 5187456.

The previous prime is 15680087. The next prime is 15680117. The reversal of 15680088 is 88008651.

15680088 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15680087) 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, 49306 + ... + 49622.

Almost surely, 215680088 is an apocalyptic number.

15680088 is a gapful number since it is divisible by the number (18) 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 15680088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942000).

15680088 is an abundant number, since it is smaller than the sum of its proper divisors (28203912).

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

15680088 is a wasteful number, since it uses less digits than its factorization.

15680088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 15680088 is about 3959.8090863071. The cubic root of 15680088 is about 250.2934580613.

The spelling of 15680088 in words is "fifteen million, six hundred eighty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 317 458 634 687 916 951 1268 1374 1832 1902 2061 2536 2748 2853 3804 4122 5496 5706 6183 7608 8244 8559 11412 12366 16488 17118 22824 24732 34236 49464 68472 72593 145186 217779 290372 435558 580744 653337 871116 1306674 1742232 1960011 2613348 3920022 5226696 7840044 15680088