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14182872 = 23311311733
BaseRepresentation
bin110110000110…
…100111011000
3222200120020120
4312012213120
512112322442
61223553240
7231360324
oct66064730
928616216
1014182872
118007890
1248bb820
132c27742
141c52984
1513a24ec
hexd869d8

14182872 has 64 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 4156800.

The previous prime is 14182871. The next prime is 14182907. The reversal of 14182872 is 27828141.

It is a happy number.

14182872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182871) 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, 7318 + ... + 9050.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 214182872 is an apocalyptic number.

14182872 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 14182872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

14182872 is an abundant number, since it is smaller than the sum of its proper divisors (25768488).

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

14182872 is a wasteful number, since it uses less digits than its factorization.

14182872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1780 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 14182872 is about 3766.0154009244. The cubic root of 14182872 is about 242.0590890021.

The spelling of 14182872 in words is "fourteen million, one hundred eighty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1733 2046 2728 3466 4092 5199 6932 8184 10398 13864 19063 20796 38126 41592 53723 57189 76252 107446 114378 152504 161169 214892 228756 322338 429784 457512 590953 644676 1181906 1289352 1772859 2363812 3545718 4727624 7091436 14182872