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13275240 = 23351189113
BaseRepresentation
bin110010101001…
…000001101000
3220222110012120
4302221001220
511344301430
61152311240
7220560216
oct62510150
926873176
1013275240
117547980
124542520
13299a594
141a97cb6
151273610
hexca9068

13275240 has 128 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 3153920.

The previous prime is 13275221. The next prime is 13275253. The reversal of 13275240 is 4257231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13275240.

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, 117424 + ... + 117536.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 213275240 is an apocalyptic number.

13275240 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 13275240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

13275240 is an abundant number, since it is smaller than the sum of its proper divisors (31047960).

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

13275240 is a wasteful number, since it uses less digits than its factorization.

13275240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13275240 is about 3643.5202757773. The cubic root of 13275240 is about 236.7813326075.

Subtracting from 13275240 its reverse (4257231), we obtain a square (9018009 = 30032).

The spelling of 13275240 in words is "thirteen million, two hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 113 120 132 165 178 220 226 264 267 330 339 356 440 445 452 534 565 660 678 712 890 904 979 1068 1130 1243 1320 1335 1356 1695 1780 1958 2136 2260 2486 2670 2712 2937 3390 3560 3729 3916 4520 4895 4972 5340 5874 6215 6780 7458 7832 9790 9944 10057 10680 11748 12430 13560 14685 14916 18645 19580 20114 23496 24860 29370 29832 30171 37290 39160 40228 49720 50285 58740 60342 74580 80456 100570 110627 117480 120684 149160 150855 201140 221254 241368 301710 331881 402280 442508 553135 603420 663762 885016 1106270 1206840 1327524 1659405 2212540 2655048 3318810 4425080 6637620 13275240