Search a number
-
+
10696842 = 23213172689
BaseRepresentation
bin101000110011…
…100010001010
3202010110022100
4220303202022
510214244332
61021134230
7156631062
oct50634212
922113270
1010696842
116046772
1236ba376
1322a6ac0
1415c63a2
15e1467c
hexa3388a

10696842 has 48 divisors (see below), whose sum is σ = 26437320. Its totient is φ = 3096576.

The previous prime is 10696841. The next prime is 10696843. The reversal of 10696842 is 24869601.

It is an interprime number because it is at equal distance from previous prime (10696841) and next prime (10696843).

It can be written as a sum of positive squares in 4 ways, for example, as 5861241 + 4835601 = 2421^2 + 2199^2 .

It is a super-2 number, since 2×106968422 = 228844857545928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10696797 and 10696806.

It is not an unprimeable number, because it can be changed into a prime (10696841) 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, 2634 + ... + 5322.

Almost surely, 210696842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10696842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218660).

10696842 is an abundant number, since it is smaller than the sum of its proper divisors (15740478).

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

10696842 is a wasteful number, since it uses less digits than its factorization.

10696842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10696842 is about 3270.6026967518. The cubic root of 10696842 is about 220.3358644000.

The spelling of 10696842 in words is "ten million, six hundred ninety-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 2689 3978 5378 8067 16134 24201 34957 45713 48402 69914 91426 104871 137139 209742 274278 314613 411417 594269 629226 822834 1188538 1782807 3565614 5348421 10696842