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14183136 = 253211337
BaseRepresentation
bin110110000110…
…101011100000
3222200120121100
4312012223200
512112330021
61223554400
7231361152
oct66065340
928616540
1014183136
118008000
1248bba00
132c278b6
141c52ad2
1513a2626
hexd86ae0

14183136 has 144 divisors (see below), whose sum is σ = 45562608. Its totient is φ = 4181760.

The previous prime is 14183047. The next prime is 14183137. The reversal of 14183136 is 63138141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×141831362 = 402322693588992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14183137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 383310 + ... + 383346.

It is an arithmetic number, because the mean of its divisors is an integer number (316407).

Almost surely, 214183136 is an apocalyptic number.

14183136 is a gapful number since it is divisible by the number (16) 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 14183136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781304).

14183136 is an abundant number, since it is smaller than the sum of its proper divisors (31379472).

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

14183136 is a wasteful number, since it uses less digits than its factorization.

14183136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

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

The square root of 14183136 is about 3766.0504510694. The cubic root of 14183136 is about 242.0605908889.

It can be divided in two parts, 1418 and 3136, that added together give a palindrome (4554).

The spelling of 14183136 in words is "fourteen million, one hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 121 132 144 148 176 198 222 242 264 288 296 333 352 363 396 407 444 484 528 592 666 726 792 814 888 968 1056 1089 1184 1221 1331 1332 1452 1584 1628 1776 1936 2178 2442 2662 2664 2904 3168 3256 3552 3663 3872 3993 4356 4477 4884 5324 5328 5808 6512 7326 7986 8712 8954 9768 10648 10656 11616 11979 13024 13431 14652 15972 17424 17908 19536 21296 23958 26862 29304 31944 34848 35816 39072 40293 42592 47916 49247 53724 58608 63888 71632 80586 95832 98494 107448 117216 127776 143264 147741 161172 191664 196988 214896 295482 322344 383328 393976 429792 443223 590964 644688 787952 886446 1181928 1289376 1575904 1772892 2363856 3545784 4727712 7091568 14183136