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13270080 = 263523601
BaseRepresentation
bin110010100111…
…110001000000
3220222012010110
4302213301000
511344120310
61152231320
7220536165
oct62476100
926865113
1013270080
11754400a
12453b540
132998125
141a9606c
151271d20
hexca7c40

13270080 has 112 divisors (see below), whose sum is σ = 44037504. Its totient is φ = 3379200.

The previous prime is 13270073. The next prime is 13270093. The reversal of 13270080 is 8007231.

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, 21780 + ... + 22380.

It is an arithmetic number, because the mean of its divisors is an integer number (393192).

Almost surely, 213270080 is an apocalyptic number.

13270080 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 13270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018752).

13270080 is an abundant number, since it is smaller than the sum of its proper divisors (30767424).

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

13270080 is a wasteful number, since it uses less digits than its factorization.

13270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13270080 is about 3642.8121005619. The cubic root of 13270080 is about 236.7506501738.

The spelling of 13270080 in words is "thirteen million, two hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 601 690 736 920 960 1104 1202 1380 1472 1803 1840 2208 2404 2760 3005 3606 3680 4416 4808 5520 6010 7212 7360 9015 9616 11040 12020 13823 14424 18030 19232 22080 24040 27646 28848 36060 38464 41469 48080 55292 57696 69115 72120 82938 96160 110584 115392 138230 144240 165876 192320 207345 221168 276460 288480 331752 414690 442336 552920 576960 663504 829380 884672 1105840 1327008 1658760 2211680 2654016 3317520 4423360 6635040 13270080