Search a number
-
+
15680928 = 253198597
BaseRepresentation
bin111011110100…
…010110100000
31002111200012010
4323310112200
513003242203
61320032520
7250166664
oct73642640
932450163
1015680928
11894034a
125302740
133330573
1421228a4
15159b303
hexef45a0

15680928 has 48 divisors (see below), whose sum is σ = 43333920. Its totient is φ = 4951296.

The previous prime is 15680927. The next prime is 15680993. The reversal of 15680928 is 82908651.

15680928 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 tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (15680921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (902790).

Almost surely, 215680928 is an apocalyptic number.

It is an amenable number.

15680928 is an abundant number, since it is smaller than the sum of its proper divisors (27652992).

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

15680928 is a wasteful number, since it uses less digits than its factorization.

15680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 15680928 is about 3959.9151506061. The cubic root of 15680928 is about 250.2979274825.

The spelling of 15680928 in words is "fifteen million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 8597 17194 25791 34388 51582 68776 103164 137552 163343 206328 275104 326686 412656 490029 653372 825312 980058 1306744 1960116 2613488 3920232 5226976 7840464 15680928