Search a number
-
+
10522746 = 23213193233
BaseRepresentation
bin101000001001…
…000001111010
3201210121111100
4220021001322
510143211441
61013312230
7155304363
oct50110172
921717440
1010522746
115a37993
123635676
1322457a0
14157cb6a
15dcccb6
hexa0907a

10522746 has 48 divisors (see below), whose sum is σ = 24786216. Its totient is φ = 3207168.

The previous prime is 10522741. The next prime is 10522769. The reversal of 10522746 is 64722501.

It can be written as a sum of positive squares in 4 ways, for example, as 4247721 + 6275025 = 2061^2 + 2505^2 .

It is a super-2 number, since 2×105227462 = 221456366761032, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10522741) 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, 45046 + ... + 45278.

Almost surely, 210522746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10522746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393108).

10522746 is an abundant number, since it is smaller than the sum of its proper divisors (14263470).

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

10522746 is a wasteful number, since it uses less digits than its factorization.

10522746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10522746 is about 3243.8782344595. The cubic root of 10522746 is about 219.1339644486.

The spelling of 10522746 in words is "ten million, five hundred twenty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 233 234 386 466 579 699 1158 1398 1737 2097 2509 3029 3474 4194 5018 6058 7527 9087 15054 18174 22581 27261 44969 45162 54522 89938 134907 269814 404721 584597 809442 1169194 1753791 3507582 5261373 10522746