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14942424 = 2337293067
BaseRepresentation
bin111001000000…
…000011011000
31001010011011010
4321000003120
512311124144
61252133520
7241002630
oct71000330
931104133
1014942424
118486512
1250072a0
133132393
141dad6c0
1514a25b9
hexe400d8

14942424 has 64 divisors (see below), whose sum is σ = 44179200. Its totient is φ = 4120704.

The previous prime is 14942401. The next prime is 14942437. The reversal of 14942424 is 42424941.

14942424 = T657 + T658 + ... + T719.

It is a junction number, because it is equal to n+sod(n) for n = 14942391 and 14942400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3339 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (690300).

Almost surely, 214942424 is an apocalyptic number.

14942424 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 14942424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089600).

14942424 is an abundant number, since it is smaller than the sum of its proper divisors (29236776).

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

14942424 is a wasteful number, since it uses less digits than its factorization.

14942424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14942424 is about 3865.5431701121. The cubic root of 14942424 is about 246.3052592282.

The spelling of 14942424 in words is "fourteen million, nine hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 3067 4872 6134 9201 12268 18402 21469 24536 36804 42938 64407 73608 85876 88943 128814 171752 177886 257628 266829 355772 515256 533658 622601 711544 1067316 1245202 1867803 2134632 2490404 3735606 4980808 7471212 14942424