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14039424 = 273271741
BaseRepresentation
bin110101100011…
…100110000000
3222102021110200
4311203212000
512043230144
61220525200
7230222160
oct65434600
928367420
1014039424
117a1a033
124850800
132ba7369
141c165a0
151374c69
hexd63980

14039424 has 96 divisors (see below), whose sum is σ = 46197840. Its totient is φ = 4008960.

The previous prime is 14039419. The next prime is 14039429. The reversal of 14039424 is 42493041.

It is an interprime number because it is at equal distance from previous prime (14039419) and next prime (14039429).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14039429) 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, 7194 + ... + 8934.

Almost surely, 214039424 is an apocalyptic number.

14039424 is a gapful number since it is divisible by the number (14) 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 14039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098920).

14039424 is an abundant number, since it is smaller than the sum of its proper divisors (32158416).

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

14039424 is a wasteful number, since it uses less digits than its factorization.

14039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14039424 is about 3746.9219367369. The cubic root of 14039424 is about 241.2402464132.

The spelling of 14039424 in words is "fourteen million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 1741 2016 2688 3482 4032 5223 6964 8064 10446 12187 13928 15669 20892 24374 27856 31338 36561 41784 48748 55712 62676 73122 83568 97496 109683 111424 125352 146244 167136 194992 219366 222848 250704 292488 334272 389984 438732 501408 584976 668544 779968 877464 1002816 1169952 1559936 1754928 2005632 2339904 3509856 4679808 7019712 14039424