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13393560 = 2335239467
BaseRepresentation
bin110011000101…
…111010011000
3221012110111210
4303011322120
511412043220
61155023120
7221562165
oct63057230
927173453
1013393560
117618864
12459aaa0
132a0c3ab
141ac906c
1512986e0
hexcc5e98

13393560 has 64 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3549056.

The previous prime is 13393559. The next prime is 13393561. The reversal of 13393560 is 6539331.

13393560 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 an interprime number because it is at equal distance from previous prime (13393559) and next prime (13393561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13393561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28447 + ... + 28913.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 213393560 is an apocalyptic number.

13393560 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 13393560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

13393560 is an abundant number, since it is smaller than the sum of its proper divisors (27041640).

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

13393560 is a wasteful number, since it uses less digits than its factorization.

13393560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 13393560 is about 3659.7213008643. The cubic root of 13393560 is about 237.4827171172.

The spelling of 13393560 in words is "thirteen million, three hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 467 478 717 934 956 1195 1401 1434 1868 1912 2335 2390 2802 2868 3585 3736 4670 4780 5604 5736 7005 7170 9340 9560 11208 14010 14340 18680 28020 28680 56040 111613 223226 334839 446452 558065 669678 892904 1116130 1339356 1674195 2232260 2678712 3348390 4464520 6696780 13393560