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13313880 = 23325311193
BaseRepresentation
bin110010110010…
…011101011000
3221001102012200
4302302131120
511402021010
61153210200
7221110656
oct62623530
927042180
1013313880
117573a08
124560960
1329b2048
141aa7dd6
15127ecc0
hexcb2758

13313880 has 96 divisors (see below), whose sum is σ = 44703360. Its totient is φ = 3432960.

The previous prime is 13313879. The next prime is 13313893. The reversal of 13313880 is 8831331.

13313880 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 congruent number.

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, 10564 + ... + 11756.

It is an arithmetic number, because the mean of its divisors is an integer number (465660).

Almost surely, 213313880 is an apocalyptic number.

13313880 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 13313880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351680).

13313880 is an abundant number, since it is smaller than the sum of its proper divisors (31389480).

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

13313880 is a wasteful number, since it uses less digits than its factorization.

13313880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13313880 is about 3648.8189870148. The cubic root of 13313880 is about 237.0108417836.

The spelling of 13313880 in words is "thirteen million, three hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1193 1240 1395 1860 2232 2386 2790 3579 3720 4772 5580 5965 7158 9544 10737 11160 11930 14316 17895 21474 23860 28632 35790 36983 42948 47720 53685 71580 73966 85896 107370 110949 143160 147932 184915 214740 221898 295864 332847 369830 429480 443796 554745 665694 739660 887592 1109490 1331388 1479320 1664235 2218980 2662776 3328470 4437960 6656940 13313880