Search a number
-
+
15982980 = 22351331661
BaseRepresentation
bin111100111110…
…000110000100
31010002000112020
4330332012010
513042423410
61330323140
7252565416
oct74760604
933060466
1015982980
119027282
1254294b0
133407bb0
1421a09b6
15160aa70
hexf3e184

15982980 has 96 divisors (see below), whose sum is σ = 49824768. Its totient is φ = 3801600.

The previous prime is 15982969. The next prime is 15983003. The reversal of 15982980 is 8928951.

It is a happy number.

15982980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23850 + ... + 24510.

It is an arithmetic number, because the mean of its divisors is an integer number (519008).

Almost surely, 215982980 is an apocalyptic number.

15982980 is a gapful number since it is divisible by the number (10) 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 15982980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24912384).

15982980 is an abundant number, since it is smaller than the sum of its proper divisors (33841788).

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

15982980 is a wasteful number, since it uses less digits than its factorization.

15982980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 15982980 is about 3997.8719339168. The cubic root of 15982980 is about 251.8948288773.

The spelling of 15982980 in words is "fifteen million, nine hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 661 780 806 930 1209 1322 1612 1860 1983 2015 2418 2644 3305 3966 4030 4836 6045 6610 7932 8060 8593 9915 12090 13220 17186 19830 20491 24180 25779 34372 39660 40982 42965 51558 61473 81964 85930 102455 103116 122946 128895 171860 204910 245892 257790 266383 307365 409820 515580 532766 614730 799149 1065532 1229460 1331915 1598298 2663830 3196596 3995745 5327660 7991490 15982980