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14243136 = 263312393
BaseRepresentation
bin110110010101…
…010101000000
3222210121220120
4312111111000
512121240021
61225140240
7232031115
oct66252500
928717816
1014243136
118049096
12492a680
132c48cbb
141c6a90c
1513b52c6
hexd95540

14243136 has 56 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 4592640.

The previous prime is 14243129. The next prime is 14243143. The reversal of 14243136 is 63134241.

14243136 = 12542 + 12552 + ... + 12622.

It is an interprime number because it is at equal distance from previous prime (14243129) and next prime (14243143).

It is a super-2 number, since 2×142431362 = 405733846228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4756 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 214243136 is an apocalyptic number.

14243136 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 14243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

14243136 is an abundant number, since it is smaller than the sum of its proper divisors (24673728).

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

14243136 is a wasteful number, since it uses less digits than its factorization.

14243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2429 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14243136 is about 3774.0079491172. The cubic root of 14243136 is about 242.4014464727.

Adding to 14243136 its reverse (63134241), we get a palindrome (77377377).

It can be divided in two parts, 1424 and 3136, that added together give a triangular number (4560 = T95).

The spelling of 14243136 in words is "fourteen million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2393 2976 4786 5952 7179 9572 14358 19144 28716 38288 57432 74183 76576 114864 148366 153152 222549 229728 296732 445098 459456 593464 890196 1186928 1780392 2373856 3560784 4747712 7121568 14243136