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13199280 = 2435431279
BaseRepresentation
bin110010010110…
…011110110000
3220211121000020
4302112132300
511334334110
61150523440
7220122603
oct62263660
926747006
1013199280
1174a58a6
124506580
132971b33
141a7833a
15125ad70
hexc967b0

13199280 has 80 divisors (see below), whose sum is σ = 41902080. Its totient is φ = 3435264.

The previous prime is 13199267. The next prime is 13199317. The reversal of 13199280 is 8299131.

13199280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 9681 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 213199280 is an apocalyptic number.

13199280 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 13199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951040).

13199280 is an abundant number, since it is smaller than the sum of its proper divisors (28702800).

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

13199280 is a wasteful number, since it uses less digits than its factorization.

13199280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 13199280 is about 3633.0813368269. The cubic root of 13199280 is about 236.3288530490.

The spelling of 13199280 in words is "thirteen million, one hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1279 1290 1720 2064 2558 2580 3440 3837 5116 5160 6395 7674 10232 10320 12790 15348 19185 20464 25580 30696 38370 51160 54997 61392 76740 102320 109994 153480 164991 219988 274985 306960 329982 439976 549970 659964 824955 879952 1099940 1319928 1649910 2199880 2639856 3299820 4399760 6599640 13199280