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14900144 = 247173769
BaseRepresentation
bin111000110101…
…101110110000
31001001000011012
4320311232300
512303301034
61251210052
7240435440
oct70655660
931030135
1014900144
118457776
124ba6928
13311906c
141d9c120
151494cce
hexe35bb0

14900144 has 40 divisors (see below), whose sum is σ = 33227040. Its totient is φ = 6340608.

The previous prime is 14900141. The next prime is 14900153. The reversal of 14900144 is 44100941.

It is not an unprimeable number, because it can be changed into a prime (14900141) 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, 18992 + ... + 19760.

It is an arithmetic number, because the mean of its divisors is an integer number (830676).

Almost surely, 214900144 is an apocalyptic number.

14900144 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 14900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613520).

14900144 is an abundant number, since it is smaller than the sum of its proper divisors (18326896).

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

14900144 is a wasteful number, since it uses less digits than its factorization.

14900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14900144 is about 3860.0704656781. The cubic root of 14900144 is about 246.0727306045.

The spelling of 14900144 in words is "fourteen million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 769 1211 1384 1538 2422 2768 3076 4844 5383 6152 9688 10766 12304 19376 21532 43064 86128 133037 266074 532148 931259 1064296 1862518 2128592 3725036 7450072 14900144