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13087980 = 223552693
BaseRepresentation
bin110001111011…
…010011101100
3220121221100000
4301323103230
511322303410
61144304300
7216150243
oct61732354
926557300
1013087980
11742a214
124472090
132933289
141a4995a
151237dc0
hexc7b4ec

13087980 has 72 divisors (see below), whose sum is σ = 41185872. Its totient is φ = 3488832.

The previous prime is 13087967. The next prime is 13087993. The reversal of 13087980 is 8978031.

It is an interprime number because it is at equal distance from previous prime (13087967) and next prime (13087993).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3514 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (572026).

Almost surely, 213087980 is an apocalyptic number.

13087980 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 13087980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592936).

13087980 is an abundant number, since it is smaller than the sum of its proper divisors (28097892).

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

13087980 is a wasteful number, since it uses less digits than its factorization.

13087980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13087980 is about 3617.7313333082. The cubic root of 13087980 is about 235.6627136288.

The spelling of 13087980 in words is "thirteen million, eighty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2693 4860 5386 8079 10772 13465 16158 24237 26930 32316 40395 48474 53860 72711 80790 96948 121185 145422 161580 218133 242370 290844 363555 436266 484740 654399 727110 872532 1090665 1308798 1454220 2181330 2617596 3271995 4362660 6543990 13087980