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13904040 = 23351091063
BaseRepresentation
bin110101000010…
…100010101000
3222011101202110
4311002202220
512024412130
61214002320
7226116363
oct65024250
928141673
1013904040
117937347
1247a63a0
132b5a857
141bbd0da
151349ab0
hexd428a8

13904040 has 64 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 3670272.

The previous prime is 13904039. The next prime is 13904047. The reversal of 13904040 is 4040931.

It is a junction number, because it is equal to n+sod(n) for n = 13903998 and 13904016.

It is not an unprimeable number, because it can be changed into a prime (13904047) 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, 12549 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 213904040 is an apocalyptic number.

13904040 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 13904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

13904040 is an abundant number, since it is smaller than the sum of its proper divisors (28230360).

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

13904040 is a wasteful number, since it uses less digits than its factorization.

13904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13904040 is about 3728.8121432971. The cubic root of 13904040 is about 240.4623033544.

Adding to 13904040 its reverse (4040931), we get a palindrome (17944971).

The spelling of 13904040 in words is "thirteen million, nine hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1063 1090 1308 1635 2126 2180 2616 3189 3270 4252 4360 5315 6378 6540 8504 10630 12756 13080 15945 21260 25512 31890 42520 63780 115867 127560 231734 347601 463468 579335 695202 926936 1158670 1390404 1738005 2317340 2780808 3476010 4634680 6952020 13904040