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13097120 = 255233559
BaseRepresentation
bin110001111101…
…100010100000
3220122101212112
4301331202200
511323101440
61144414452
7216216011
oct61754240
926571775
1013097120
117436073
124477428
13293749a
141a4d008
15123a965
hexc7d8a0

13097120 has 48 divisors (see below), whose sum is σ = 32296320. Its totient is φ = 5009664.

The previous prime is 13097111. The next prime is 13097131. The reversal of 13097120 is 2179031.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (672840).

Almost surely, 213097120 is an apocalyptic number.

13097120 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 13097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148160).

13097120 is an abundant number, since it is smaller than the sum of its proper divisors (19199200).

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

13097120 is a wasteful number, since it uses less digits than its factorization.

13097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 13097120 is about 3618.9943354473. The cubic root of 13097120 is about 235.7175592706.

The spelling of 13097120 in words is "thirteen million, ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3559 3680 7118 14236 17795 28472 35590 56944 71180 81857 113888 142360 163714 284720 327428 409285 569440 654856 818570 1309712 1637140 2619424 3274280 6548560 13097120