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15681042 = 23213193527
BaseRepresentation
bin111011110100…
…011000010010
31002111200100100
4323310120102
513003243132
61320033230
7250200216
oct73643022
932450310
1015681042
118940443
125302816
133330630
142122946
15159b37c
hexef4612

15681042 has 48 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4569696.

The previous prime is 15681037. The next prime is 15681047. The reversal of 15681042 is 24018651.

15681042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15681037) and next prime (15681047).

It is a junction number, because it is equal to n+sod(n) for n = 15680997 and 15681015.

It is not an unprimeable number, because it can be changed into a prime (15681047) 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, 2683 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 215681042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15681042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

15681042 is an abundant number, since it is smaller than the sum of its proper divisors (22844718).

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

15681042 is a wasteful number, since it uses less digits than its factorization.

15681042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 15681042 is about 3959.9295448278. The cubic root of 15681042 is about 250.2985340345.

Adding to 15681042 its reverse (24018651), we get a palindrome (39699693).

The spelling of 15681042 in words is "fifteen million, six hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 3527 4446 7054 10581 21162 31743 45851 63486 67013 91702 134026 137553 201039 275106 402078 412659 603117 825318 871169 1206234 1742338 2613507 5227014 7840521 15681042