Search a number
-
+
10528936 = 2311273149
BaseRepresentation
bin101000001010…
…100010101000
3201210220222121
4220022202220
510143411221
61013401024
7155331415
oct50124250
921726877
1010528936
115a41600
123639174
132248552
14158110c
15dcea41
hexa0a8a8

10528936 has 48 divisors (see below), whose sum is σ = 22144500. Its totient is φ = 4688640.

The previous prime is 10528909. The next prime is 10528939. The reversal of 10528936 is 63982501.

It can be written as a sum of positive squares in 2 ways, for example, as 10176100 + 352836 = 3190^2 + 594^2 .

It is a super-2 number, since 2×105289362 = 221716986584192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70590 + ... + 70738.

Almost surely, 210528936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10528936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072250).

10528936 is an abundant number, since it is smaller than the sum of its proper divisors (11615564).

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

10528936 is a wasteful number, since it uses less digits than its factorization.

10528936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 10528936 is about 3244.8321990513. The cubic root of 10528936 is about 219.1769245072.

The spelling of 10528936 in words is "ten million, five hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 149 242 292 298 484 584 596 803 968 1192 1606 1639 3212 3278 6424 6556 8833 10877 13112 17666 18029 21754 35332 36058 43508 70664 72116 87016 119647 144232 239294 478588 957176 1316117 2632234 5264468 10528936