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14123424 = 253721017
BaseRepresentation
bin110101111000…
…000110100000
3222120112200210
4311320012200
512103422144
61222414120
7231022110
oct65700640
928515623
1014123424
117a77157
124891340
132c06673
141c39040
15138eab9
hexd781a0

14123424 has 48 divisors (see below), whose sum is σ = 42372288. Its totient is φ = 4035072.

The previous prime is 14123411. The next prime is 14123437. The reversal of 14123424 is 42432141.

It is an interprime number because it is at equal distance from previous prime (14123411) and next prime (14123437).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×141234242 = 398942210967552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14123424.

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, 9837 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (882756).

Almost surely, 214123424 is an apocalyptic number.

14123424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14123424 is an abundant number, since it is smaller than the sum of its proper divisors (28248864).

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

14123424 is a wasteful number, since it uses less digits than its factorization.

14123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21037 (or 21029 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 14123424 is about 3758.1144208233. The cubic root of 14123424 is about 241.7204156839.

Adding to 14123424 its reverse (42432141), we get a palindrome (56555565).

The spelling of 14123424 in words is "fourteen million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 21017 42034 63051 84068 126102 147119 168136 252204 294238 336272 441357 504408 588476 672544 882714 1008816 1176952 1765428 2017632 2353904 3530856 4707808 7061712 14123424