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14242068 = 2234113389
BaseRepresentation
bin110110010101…
…000100010100
3222210120110000
4312111010110
512121221233
61225131300
7232025031
oct66250424
928716400
1014242068
118048305
124929b30
132c48679
141c6a388
1513b4d13
hexd95114

14242068 has 60 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 4693248.

The previous prime is 14242061. The next prime is 14242087. The reversal of 14242068 is 86024241.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 12830724 = 1188^2 + 3582^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36418 + ... + 36806.

It is an arithmetic number, because the mean of its divisors is an integer number (627627).

Almost surely, 214242068 is an apocalyptic number.

14242068 is a gapful number since it is divisible by the number (18) 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 14242068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828810).

14242068 is an abundant number, since it is smaller than the sum of its proper divisors (23415552).

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

14242068 is a wasteful number, since it uses less digits than its factorization.

14242068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14242068 is about 3773.8664523271. The cubic root of 14242068 is about 242.3953876193.

The spelling of 14242068 in words is "fourteen million, two hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 389 452 678 778 1017 1167 1356 1556 2034 2334 3051 3501 4068 4668 6102 7002 9153 10503 12204 14004 18306 21006 31509 36612 42012 43957 63018 87914 126036 131871 175828 263742 395613 527484 791226 1186839 1582452 2373678 3560517 4747356 7121034 14242068