Search a number
-
+
14147904 = 263312377
BaseRepresentation
bin110101111110…
…000101000000
3222121210021110
4311332011000
512110213104
61223123320
7231153351
oct65760500
928553243
1014147904
117a93591
1248a3540
132c14854
141c43d28
151396e89
hexd7e140

14147904 has 56 divisors (see below), whose sum is σ = 38656768. Its totient is φ = 4561920.

The previous prime is 14147879. The next prime is 14147909. The reversal of 14147904 is 40974141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4764 + ... + 7140.

Almost surely, 214147904 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 14147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328384).

14147904 is an abundant number, since it is smaller than the sum of its proper divisors (24508864).

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

14147904 is a wasteful number, since it uses less digits than its factorization.

14147904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14147904 is about 3761.3699631916. The cubic root of 14147904 is about 241.8599923251.

It can be divided in two parts, 14147 and 904, that added together give a palindrome (15051).

The spelling of 14147904 in words is "fourteen million, one hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2377 2976 4754 5952 7131 9508 14262 19016 28524 38032 57048 73687 76064 114096 147374 152128 221061 228192 294748 442122 456384 589496 884244 1178992 1768488 2357984 3536976 4715968 7073952 14147904