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247107042 = 232713257587
BaseRepresentation
bin11101011101010…
…00110111100010
3122012222100010200
432232220313202
51001224411132
640304210030
76060242460
oct1656506742
9565870120
10247107042
111175381a6
126a909916
133c26b9b0
1424b65830
1516a61d7c
hexeba8de2

247107042 has 96 divisors (see below), whose sum is σ = 662643072. Its totient is φ = 64806912.

The previous prime is 247107017. The next prime is 247107067. The reversal of 247107042 is 240701742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (247107017) and next prime (247107067).

It is a super-2 number, since 2×2471070422 = 122123780411979528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247106997 and 247107015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420673 + ... + 421259.

It is an arithmetic number, because the mean of its divisors is an integer number (6902532).

Almost surely, 2247107042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247107042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331321536).

247107042 is an abundant number, since it is smaller than the sum of its proper divisors (415536030).

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

247107042 is a wasteful number, since it uses less digits than its factorization.

247107042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 247107042 is about 15719.6387363069. The cubic root of 247107042 is about 627.5211588448.

Adding to 247107042 its reverse (240701742), we get a palindrome (487808784).

The spelling of 247107042 in words is "two hundred forty-seven million, one hundred seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 257 273 514 546 587 771 819 1174 1542 1638 1761 1799 2313 3341 3522 3598 4109 4626 5283 5397 6682 7631 8218 10023 10566 10794 12327 15262 16191 20046 22893 23387 24654 30069 32382 36981 45786 46774 53417 60138 68679 70161 73962 106834 137358 140322 150859 160251 210483 301718 320502 420966 452577 480753 905154 961506 1056013 1357731 1961167 2112026 2715462 3168039 3922334 5883501 6336078 9504117 11767002 13728169 17650503 19008234 27456338 35301006 41184507 82369014 123553521 247107042