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13904460 = 223552861
BaseRepresentation
bin110101000010…
…101001001100
3222011102100000
4311002221030
512024420320
61214004300
7226120533
oct65025114
928142300
1013904460
117937699
1247a6690
132b5aabb
141bbd31a
151349c90
hexd42a4c

13904460 has 72 divisors (see below), whose sum is σ = 43754256. Its totient is φ = 3706560.

The previous prime is 13904459. The next prime is 13904467. The reversal of 13904460 is 6440931.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13904467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3430 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (607698).

Almost surely, 213904460 is an apocalyptic number.

13904460 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 13904460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877128).

13904460 is an abundant number, since it is smaller than the sum of its proper divisors (29849796).

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

13904460 is a wasteful number, since it uses less digits than its factorization.

13904460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2871 counting only the distinct ones).

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

The square root of 13904460 is about 3728.8684610750. The cubic root of 13904460 is about 240.4647245487.

The spelling of 13904460 in words is "thirteen million, nine hundred four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2861 4860 5722 8583 11444 14305 17166 25749 28610 34332 42915 51498 57220 77247 85830 102996 128745 154494 171660 231741 257490 308988 386235 463482 514980 695223 772470 926964 1158705 1390446 1544940 2317410 2780892 3476115 4634820 6952230 13904460