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14124042 = 23217101457
BaseRepresentation
bin110101111000…
…010000001010
3222120120112200
4311320100022
512103432132
61222421030
7231023652
oct65702012
928516480
1014124042
117a77669
124891776
132c06a2a
141c39362
15138ed7c
hexd7840a

14124042 has 48 divisors (see below), whose sum is σ = 32794632. Its totient is φ = 4377600.

The previous prime is 14124037. The next prime is 14124043. The reversal of 14124042 is 24042141.

It can be written as a sum of positive squares in 4 ways, for example, as 13242321 + 881721 = 3639^2 + 939^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14124043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30678 + ... + 31134.

Almost surely, 214124042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397316).

14124042 is an abundant number, since it is smaller than the sum of its proper divisors (18670590).

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

14124042 is a wasteful number, since it uses less digits than its factorization.

14124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14124042 is about 3758.1966420080. The cubic root of 14124042 is about 241.7239412935.

Adding to 14124042 its reverse (24042141), we get a palindrome (38166183).

The spelling of 14124042 in words is "fourteen million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 457 606 909 914 1371 1717 1818 2742 3434 4113 5151 7769 8226 10302 15453 15538 23307 30906 46157 46614 69921 92314 138471 139842 276942 415413 784669 830826 1569338 2354007 4708014 7062021 14124042