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17940042 = 234374173
BaseRepresentation
bin100010001101…
…1111001001010
31020202110010000
41010123321022
514043040132
61440303430
7305326221
oct104337112
936673100
1017940042
11a14368a
126011b76
133941913
14254dcb8
15189587c
hex111be4a

17940042 has 80 divisors (see below), whose sum is σ = 42871752. Its totient is φ = 5598720.

The previous prime is 17940017. The next prime is 17940059. The reversal of 17940042 is 24004971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15046641 + 2893401 = 3879^2 + 1701^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 17939988 and 17940015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245718 + ... + 245790.

Almost surely, 217940042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17940042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21435876).

17940042 is an abundant number, since it is smaller than the sum of its proper divisors (24931710).

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

17940042 is a wasteful number, since it uses less digits than its factorization.

17940042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 17940042 is about 4235.5686749243. The cubic root of 17940042 is about 261.7828260733.

The spelling of 17940042 in words is "seventeen million, nine hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 73 74 81 82 111 123 146 162 219 222 246 333 369 438 657 666 738 999 1107 1314 1517 1971 1998 2214 2701 2993 2997 3034 3321 3942 4551 5402 5913 5986 5994 6642 8103 8979 9102 11826 13653 16206 17958 24309 26937 27306 40959 48618 53874 72927 80811 81918 110741 122877 145854 161622 218781 221482 242433 245754 332223 437562 484866 664446 996669 1993338 2990007 5980014 8970021 17940042