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13910080 = 265172557
BaseRepresentation
bin110101000100…
…000001000000
3222011201001011
4311010001000
512030110310
61214050304
7226143112
oct65040100
928151034
1013910080
117940938
1247a9994
132b60522
141bc13b2
15134b78a
hexd44040

13910080 has 56 divisors (see below), whose sum is σ = 35085528. Its totient is φ = 5234688.

The previous prime is 13910069. The next prime is 13910081. The reversal of 13910080 is 8001931.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 11451456 = 1568^2 + 3384^2 .

It is not an unprimeable number, because it can be changed into a prime (13910081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4162 + ... + 6718.

Almost surely, 213910080 is an apocalyptic number.

13910080 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 13910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542764).

13910080 is an abundant number, since it is smaller than the sum of its proper divisors (21175448).

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

13910080 is a wasteful number, since it uses less digits than its factorization.

13910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 13910080 is about 3729.6219647573. The cubic root of 13910080 is about 240.4971177453.

The spelling of 13910080 in words is "thirteen million, nine hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2557 2720 5114 5440 10228 12785 20456 25570 40912 43469 51140 81824 86938 102280 163648 173876 204560 217345 347752 409120 434690 695504 818240 869380 1391008 1738760 2782016 3477520 6955040 13910080