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14772168 = 23321991031
BaseRepresentation
bin111000010110…
…011111001000
31000210111121100
4320112133020
512240202133
61244341400
7236363355
oct70263710
930714540
1014772168
11837a604
124b44860
1330a2a38
141d6762c
15146be13
hexe167c8

14772168 has 48 divisors (see below), whose sum is σ = 40248000. Its totient is φ = 4894560.

The previous prime is 14772161. The next prime is 14772169. The reversal of 14772168 is 86127741.

14772168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14772161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13813 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (838500).

Almost surely, 214772168 is an apocalyptic number.

14772168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14772168 is an abundant number, since it is smaller than the sum of its proper divisors (25475832).

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

14772168 is a wasteful number, since it uses less digits than its factorization.

14772168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1235 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 14772168 is about 3843.4578181632. The cubic root of 14772168 is about 245.3662050971.

The spelling of 14772168 in words is "fourteen million, seven hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1031 1194 1592 1791 2062 2388 3093 3582 4124 4776 6186 7164 8248 9279 12372 14328 18558 24744 37116 74232 205169 410338 615507 820676 1231014 1641352 1846521 2462028 3693042 4924056 7386084 14772168