Search a number
-
+
14875104 = 253891741
BaseRepresentation
bin111000101111…
…100111100000
31000222201210210
4320233213200
512302000404
61250454120
7240302436
oct70574740
930881723
1014875104
11843a982
124b94340
13310a84a
141d92d56
15148c689
hexe2f9e0

14875104 has 48 divisors (see below), whose sum is σ = 39508560. Its totient is φ = 4899840.

The previous prime is 14875099. The next prime is 14875109. The reversal of 14875104 is 40157841.

It is an interprime number because it is at equal distance from previous prime (14875099) and next prime (14875109).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14875109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7674 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 214875104 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 14875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754280).

14875104 is an abundant number, since it is smaller than the sum of its proper divisors (24633456).

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

14875104 is a wasteful number, since it uses less digits than its factorization.

14875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 14875104 is about 3856.8256377493. The cubic root of 14875104 is about 245.9348098793.

The spelling of 14875104 in words is "fourteen million, eight hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 1741 2136 2848 3482 4272 5223 6964 8544 10446 13928 20892 27856 41784 55712 83568 154949 167136 309898 464847 619796 929694 1239592 1859388 2479184 3718776 4958368 7437552 14875104