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13279280 = 2457231031
BaseRepresentation
bin110010101010…
…000000110000
3220222122202012
4302222000300
511344414110
61152342052
7220605050
oct62520060
926878665
1013279280
11754aa13
124544928
13299c381
141a99560
151274905
hexcaa030

13279280 has 80 divisors (see below), whose sum is σ = 36854784. Its totient is φ = 4350720.

The previous prime is 13279267. The next prime is 13279297. The reversal of 13279280 is 8297231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 12365 + ... + 13395.

Almost surely, 213279280 is an apocalyptic number.

13279280 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 13279280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427392).

13279280 is an abundant number, since it is smaller than the sum of its proper divisors (23575504).

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

13279280 is a wasteful number, since it uses less digits than its factorization.

13279280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13279280 is about 3644.0746424847. The cubic root of 13279280 is about 236.8053497391.

The spelling of 13279280 in words is "thirteen million, two hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1031 1288 1610 1840 2062 2576 3220 4124 5155 6440 7217 8248 10310 12880 14434 16496 20620 23713 28868 36085 41240 47426 57736 72170 82480 94852 115472 118565 144340 165991 189704 237130 288680 331982 379408 474260 577360 663964 829955 948520 1327928 1659910 1897040 2655856 3319820 6639640 13279280