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13297760 = 255731383
BaseRepresentation
bin110010101110…
…100001100000
3221000121002122
4302232201200
511401012020
61153003412
7221012660
oct62564140
927017078
1013297760
117562893
124553568
1329a78c8
141aa21a0
15127a125
hexcae860

13297760 has 96 divisors (see below), whose sum is σ = 37158912. Its totient is φ = 4400640.

The previous prime is 13297759. The next prime is 13297769. The reversal of 13297760 is 6779231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13297760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13297769) 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, 34529 + ... + 34911.

It is an arithmetic number, because the mean of its divisors is an integer number (387072).

Almost surely, 213297760 is an apocalyptic number.

13297760 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 13297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579456).

13297760 is an abundant number, since it is smaller than the sum of its proper divisors (23861152).

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

13297760 is a wasteful number, since it uses less digits than its factorization.

13297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 13297760 is about 3646.6093840717. The cubic root of 13297760 is about 236.9151482225.

The spelling of 13297760 in words is "thirteen million, two hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 383 434 496 560 620 766 868 992 1085 1120 1240 1532 1736 1915 2170 2480 2681 3064 3472 3830 4340 4960 5362 6128 6944 7660 8680 10724 11873 12256 13405 15320 17360 21448 23746 26810 30640 34720 42896 47492 53620 59365 61280 83111 85792 94984 107240 118730 166222 189968 214480 237460 332444 379936 415555 428960 474920 664888 831110 949840 1329776 1662220 1899680 2659552 3324440 6648880 13297760