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13516980 = 22351971167
BaseRepresentation
bin110011100100…
…000010110100
3221102201210220
4303210002310
511430020410
61201414340
7222615051
oct63440264
927381726
1013516980
1176a2564
12463a3b0
132a53619
141b1c028
1512c0070
hexce40b4

13516980 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3346560.

The previous prime is 13516963. The next prime is 13517011. The reversal of 13516980 is 8961531.

It is a congruent number.

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, 80857 + ... + 81023.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 213516980 is an apocalyptic number.

13516980 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 13516980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13516980 is an abundant number, since it is smaller than the sum of its proper divisors (27125580).

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

13516980 is a wasteful number, since it uses less digits than its factorization.

13516980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13516980 is about 3676.5445733732. The cubic root of 13516980 is about 238.2099458582.

The spelling of 13516980 in words is "thirteen million, five hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 167 190 213 228 284 285 334 355 380 426 501 570 668 710 835 852 1002 1065 1140 1349 1420 1670 2004 2130 2505 2698 3173 3340 4047 4260 5010 5396 6346 6745 8094 9519 10020 11857 12692 13490 15865 16188 19038 20235 23714 26980 31730 35571 38076 40470 47428 47595 59285 63460 71142 80940 95190 118570 142284 177855 190380 225283 237140 355710 450566 675849 711420 901132 1126415 1351698 2252830 2703396 3379245 4505660 6758490 13516980