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13241280 = 2635131061
BaseRepresentation
bin110010100000…
…101111000000
3220220201121210
4302200233000
511342210110
61151450120
7220356213
oct62405700
926821553
1013241280
117524408
124526940
132987ca0
141a8977a
151268520
hexca0bc0

13241280 has 112 divisors (see below), whose sum is σ = 45317664. Its totient is φ = 3256320.

The previous prime is 13241273. The next prime is 13241329. The reversal of 13241280 is 8214231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11950 + ... + 13010.

It is an arithmetic number, because the mean of its divisors is an integer number (404622).

Almost surely, 213241280 is an apocalyptic number.

13241280 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 13241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22658832).

13241280 is an abundant number, since it is smaller than the sum of its proper divisors (32076384).

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

13241280 is a wasteful number, since it uses less digits than its factorization.

13241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13241280 is about 3638.8569633884. The cubic root of 13241280 is about 236.5792531327.

The spelling of 13241280 in words is "thirteen million, two hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1061 1248 1560 2080 2122 2496 3120 3183 4160 4244 5305 6240 6366 8488 10610 12480 12732 13793 15915 16976 21220 25464 27586 31830 33952 41379 42440 50928 55172 63660 67904 68965 82758 84880 101856 110344 127320 137930 165516 169760 203712 206895 220688 254640 275860 331032 339520 413790 441376 509280 551720 662064 827580 882752 1018560 1103440 1324128 1655160 2206880 2648256 3310320 4413760 6620640 13241280