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13053360 = 2435137397
BaseRepresentation
bin110001110010…
…110110110000
3220120011211210
4301302312300
511320201420
61143440120
7215644305
oct61626660
926504753
1013053360
117406201
124456040
1329205a8
141a3b0ac
15122c9e0
hexc72db0

13053360 has 80 divisors (see below), whose sum is σ = 40863456. Its totient is φ = 3446784.

The previous prime is 13053319. The next prime is 13053367. The reversal of 13053360 is 6335031.

13053360 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (13053367) 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, 32682 + ... + 33078.

Almost surely, 213053360 is an apocalyptic number.

13053360 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 13053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431728).

13053360 is an abundant number, since it is smaller than the sum of its proper divisors (27810096).

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

13053360 is a wasteful number, since it uses less digits than its factorization.

13053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 13053360 is about 3612.9433983942. The cubic root of 13053360 is about 235.4547404245.

Adding to 13053360 its reverse (6335031), we get a palindrome (19388391).

The spelling of 13053360 in words is "thirteen million, fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 397 411 548 685 794 822 1096 1191 1370 1588 1644 1985 2055 2192 2382 2740 3176 3288 3970 4110 4764 5480 5955 6352 6576 7940 8220 9528 10960 11910 15880 16440 19056 23820 31760 32880 47640 54389 95280 108778 163167 217556 271945 326334 435112 543890 652668 815835 870224 1087780 1305336 1631670 2175560 2610672 3263340 4351120 6526680 13053360