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14316120 = 233257131923
BaseRepresentation
bin110110100111…
…001001011000
3222221100000200
4312213021120
512131103440
61230502200
7232453650
oct66471130
928840020
1014316120
118098a05
124964960
132c732a0
141c89360
1513cbc30
hexda7258

14316120 has 384 divisors, whose sum is σ = 62899200. Its totient is φ = 2737152.

The previous prime is 14316109. The next prime is 14316131. The reversal of 14316120 is 2161341.

It is a happy number.

14316120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14316109) and next prime (14316131).

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 = 14316093 and 14316102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622429 + ... + 622451.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 214316120 is an apocalyptic number.

14316120 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 14316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

14316120 is an abundant number, since it is smaller than the sum of its proper divisors (48583080).

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

14316120 is a wasteful number, since it uses less digits than its factorization.

14316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14316120 is about 3783.6648900240. The cubic root of 14316120 is about 242.8147752752.

Adding to 14316120 its reverse (2161341), we get a palindrome (16477461).

The spelling of 14316120 in words is "fourteen million, three hundred sixteen thousand, one hundred twenty".