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14630112 = 253374159
BaseRepresentation
bin110111110011…
…110011100000
31000112021202000
4313303303200
512221130422
61241324000
7235232250
oct67636340
930467660
1014630112
118292902
124a96600
133053193
141d2b960
15143ecac
hexdf3ce0

14630112 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 4008960.

The previous prime is 14630111. The next prime is 14630131. The reversal of 14630112 is 21103641.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14630111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247939 + ... + 247997.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 214630112 is an apocalyptic number.

14630112 is a gapful number since it is divisible by the number (12) 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 14630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

14630112 is an abundant number, since it is smaller than the sum of its proper divisors (36173088).

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

14630112 is a wasteful number, since it uses less digits than its factorization.

14630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

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

The square root of 14630112 is about 3824.9329405886. The cubic root of 14630112 is about 244.5771520607.

Adding to 14630112 its reverse (21103641), we get a palindrome (35733753).

The spelling of 14630112 in words is "fourteen million, six hundred thirty thousand, one hundred twelve".