Search a number
-
+
13349880 = 2333547263
BaseRepresentation
bin110010111011…
…001111111000
3221010020121000
4302323033320
511404144010
61154045000
7221320635
oct62731770
927106530
1013349880
117598a65
124579760
1329c554b
141ab718c
15128a7c0
hexcbb3f8

13349880 has 128 divisors (see below), whose sum is σ = 45619200. Its totient is φ = 3470976.

The previous prime is 13349857. The next prime is 13349893. The reversal of 13349880 is 8894331.

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

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, 50629 + ... + 50891.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 213349880 is an apocalyptic number.

13349880 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 13349880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809600).

13349880 is an abundant number, since it is smaller than the sum of its proper divisors (32269320).

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

13349880 is a wasteful number, since it uses less digits than its factorization.

13349880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13349880 is about 3653.7487598356. The cubic root of 13349880 is about 237.2242709634.

The spelling of 13349880 in words is "thirteen million, three hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 263 270 282 360 376 423 470 526 540 564 705 789 846 940 1052 1080 1128 1269 1315 1410 1578 1692 1880 2104 2115 2367 2538 2630 2820 3156 3384 3945 4230 4734 5076 5260 5640 6312 6345 7101 7890 8460 9468 10152 10520 11835 12361 12690 14202 15780 16920 18936 23670 24722 25380 28404 31560 35505 37083 47340 49444 50760 56808 61805 71010 74166 94680 98888 111249 123610 142020 148332 185415 222498 247220 284040 296664 333747 370830 444996 494440 556245 667494 741660 889992 1112490 1334988 1483320 1668735 2224980 2669976 3337470 4449960 6674940 13349880