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14468112 = 2433107313
BaseRepresentation
bin110111001100…
…010000010000
31000020001112000
4313030100100
512200434422
61234034000
7233656041
oct67142020
930201460
1014468112
11819211a
124a18900
132cc7519
141cc88c8
15140bcac
hexdcc410

14468112 has 80 divisors (see below), whose sum is σ = 42050880. Its totient is φ = 4762368.

The previous prime is 14468087. The next prime is 14468117. The reversal of 14468112 is 21186441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14468117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46068 + ... + 46380.

It is an arithmetic number, because the mean of its divisors is an integer number (525636).

Almost surely, 214468112 is an apocalyptic number.

14468112 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 14468112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025440).

14468112 is an abundant number, since it is smaller than the sum of its proper divisors (27582768).

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

14468112 is a wasteful number, since it uses less digits than its factorization.

14468112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14468112 is about 3803.6971488277. The cubic root of 14468112 is about 243.6710608286.

The spelling of 14468112 in words is "fourteen million, four hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 313 321 428 432 626 642 856 939 963 1252 1284 1712 1878 1926 2504 2568 2817 2889 3756 3852 5008 5136 5634 5778 7512 7704 8451 11268 11556 15024 15408 16902 22536 23112 33491 33804 45072 46224 66982 67608 100473 133964 135216 200946 267928 301419 401892 535856 602838 803784 904257 1205676 1607568 1808514 2411352 3617028 4822704 7234056 14468112