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13909680 = 2432519319
BaseRepresentation
bin110101000011…
…111010110000
3222011200111100
4311003322300
512030102210
61214044400
7226142001
oct65037260
928150440
1013909680
117940604
1247a9700
132b602a5
141bc11a8
15134b5c0
hexd43eb0

13909680 has 60 divisors (see below), whose sum is σ = 46715760. Its totient is φ = 3709056.

The previous prime is 13909673. The next prime is 13909699. The reversal of 13909680 is 8690931.

13909680 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8940 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 213909680 is an apocalyptic number.

13909680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13909680 is an abundant number, since it is smaller than the sum of its proper divisors (32806080).

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

13909680 is a wasteful number, since it uses less digits than its factorization.

13909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13909680 is about 3729.5683396340. The cubic root of 13909680 is about 240.4948124682.

The spelling of 13909680 in words is "thirteen million, nine hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19319 38638 57957 77276 96595 115914 154552 173871 193190 231828 289785 309104 347742 386380 463656 579570 695484 772760 869355 927312 1159140 1390968 1545520 1738710 2318280 2781936 3477420 4636560 6954840 13909680