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13063680 = 293657
BaseRepresentation
bin110001110101…
…011000000000
3220120201000000
4301311120000
511321014210
61144000000
7216016350
oct61653000
926521000
1013063680
117412a33
124460000
1329251b6
141a40b60
151230ac0
hexc75600

13063680 has 280 divisors, whose sum is σ = 53670672. Its totient is φ = 2985984.

The previous prime is 13063663. The next prime is 13063693. The reversal of 13063680 is 8636031.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (3!)2.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866237 + ... + 1866243.

Almost surely, 213063680 is an apocalyptic number.

13063680 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 13063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26835336).

13063680 is an abundant number, since it is smaller than the sum of its proper divisors (40606992).

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

13063680 is an frugal number, since it uses more digits than its factorization.

13063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13063680 is about 3614.3713146272. The cubic root of 13063680 is about 235.5167743336.

The spelling of 13063680 in words is "thirteen million, sixty-three thousand, six hundred eighty".