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14244120 = 23335112109
BaseRepresentation
bin110110010101…
…100100011000
3222210200021000
4312111210120
512121302440
61225145000
7232034022
oct66254430
928720230
1014244120
118049900
12492b160
132c49597
141c6b012
1513b5730
hexd95918

14244120 has 192 divisors, whose sum is σ = 52668000. Its totient is φ = 3421440.

The previous prime is 14244103. The next prime is 14244143. The reversal of 14244120 is 2144241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14244093 and 14244102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 130626 + ... + 130734.

Almost surely, 214244120 is an apocalyptic number.

14244120 is a gapful number since it is divisible by the number (10) 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 14244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334000).

14244120 is an abundant number, since it is smaller than the sum of its proper divisors (38423880).

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

14244120 is a wasteful number, since it uses less digits than its factorization.

14244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14244120 is about 3774.1383122509. The cubic root of 14244120 is about 242.4070285189.

Adding to 14244120 its reverse (2144241), we get a palindrome (16388361).

The spelling of 14244120 in words is "fourteen million, two hundred forty-four thousand, one hundred twenty".