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13425104 = 2471117641
BaseRepresentation
bin110011001101…
…100111010000
3221021001210002
4303031213100
511414100404
61155425132
7222053150
oct63154720
927231702
1013425104
11763a530
1245b51a8
132a20864
141ad6760
1512a2c1e
hexccd9d0

13425104 has 80 divisors (see below), whose sum is σ = 34390656. Its totient is φ = 4915200.

The previous prime is 13425103. The next prime is 13425107. The reversal of 13425104 is 40152431.

13425104 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13425104 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425103) 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, 20624 + ... + 21264.

Almost surely, 213425104 is an apocalyptic number.

13425104 is a gapful number since it is divisible by the number (14) 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 13425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195328).

13425104 is an abundant number, since it is smaller than the sum of its proper divisors (20965552).

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

13425104 is a wasteful number, since it uses less digits than its factorization.

13425104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13425104 is about 3664.0283841695. The cubic root of 13425104 is about 237.6690076815.

Adding to 13425104 its reverse (40152431), we get a palindrome (53577535).

It can be divided in two parts, 1342 and 5104, that added together give a palindrome (6446).

The spelling of 13425104 in words is "thirteen million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 641 748 952 1232 1282 1309 1496 1904 2564 2618 2992 4487 5128 5236 7051 8974 10256 10472 10897 14102 17948 20944 21794 28204 35896 43588 49357 56408 71792 76279 87176 98714 112816 119867 152558 174352 197428 239734 305116 394856 479468 610232 789712 839069 958936 1220464 1678138 1917872 3356276 6712552 13425104