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13908456 = 2333193389
BaseRepresentation
bin110101000011…
…100111101000
3222011121211000
4311003213220
512030032311
61214035000
7226135302
oct65034750
928147730
1013908456
11793a6a1
1247a8a60
132b5c873
141bc0972
15134b056
hexd439e8

13908456 has 64 divisors (see below), whose sum is σ = 40680000. Its totient is φ = 4390848.

The previous prime is 13908451. The next prime is 13908481. The reversal of 13908456 is 65480931.

13908456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13908456.

It is not an unprimeable number, because it can be changed into a prime (13908451) 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, 2410 + ... + 5798.

It is an arithmetic number, because the mean of its divisors is an integer number (635625).

Almost surely, 213908456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13908456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340000).

13908456 is an abundant number, since it is smaller than the sum of its proper divisors (26771544).

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

13908456 is a wasteful number, since it uses less digits than its factorization.

13908456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13908456 is about 3729.4042419668. The cubic root of 13908456 is about 240.4877580455.

The spelling of 13908456 in words is "thirteen million, nine hundred eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3389 4104 6778 10167 13556 20334 27112 30501 40668 61002 64391 81336 91503 122004 128782 183006 193173 244008 257564 366012 386346 515128 579519 732024 772692 1159038 1545384 1738557 2318076 3477114 4636152 6954228 13908456