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14131368 = 233365423
BaseRepresentation
bin110101111010…
…000010101000
3222120221121000
4311322002220
512104200433
61222515000
7231054216
oct65720250
928527530
1014131368
117a82119
124895a60
132c0a174
141c3bcb6
151392113
hexd7a0a8

14131368 has 32 divisors (see below), whose sum is σ = 39254400. Its totient is φ = 4710384.

The previous prime is 14131357. The next prime is 14131379. The reversal of 14131368 is 86313141.

It is an interprime number because it is at equal distance from previous prime (14131357) and next prime (14131379).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32496 + ... + 32927.

It is an arithmetic number, because the mean of its divisors is an integer number (1226700).

Almost surely, 214131368 is an apocalyptic number.

14131368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14131368 is an abundant number, since it is smaller than the sum of its proper divisors (25123032).

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

14131368 is a wasteful number, since it uses less digits than its factorization.

14131368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65438 (or 65428 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 14131368 is about 3759.1711852482. The cubic root of 14131368 is about 241.7657273371.

The spelling of 14131368 in words is "fourteen million, one hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 65423 130846 196269 261692 392538 523384 588807 785076 1177614 1570152 1766421 2355228 3532842 4710456 7065684 14131368