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14124000 = 2535311107
BaseRepresentation
bin110101111000…
…001111100000
3222120120111010
4311320033200
512103432000
61222420520
7231023562
oct65701740
928516433
1014124000
117a77630
124891740
132c069c7
141c39332
15138ed50
hexd783e0

14124000 has 192 divisors, whose sum is σ = 50948352. Its totient is φ = 3392000.

The previous prime is 14123999. The next prime is 14124013. The reversal of 14124000 is 42141.

14124000 is digitally balanced in base 2, because in such base 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131947 + ... + 132053.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 214124000 is an apocalyptic number.

14124000 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 14124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

14124000 is an abundant number, since it is smaller than the sum of its proper divisors (36824352).

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

14124000 is a wasteful number, since it uses less digits than its factorization.

14124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14124000 is about 3758.1910542174. The cubic root of 14124000 is about 241.7237016922.

Adding to 14124000 its reverse (42141), we get a palindrome (14166141).

The spelling of 14124000 in words is "fourteen million, one hundred twenty-four thousand".