Search a number
-
+
10524340 = 22523137167
BaseRepresentation
bin101000001001…
…011010110100
3201210200200101
4220021122310
510143234330
61013323444
7155312131
oct50113264
921720611
1010524340
115a39102
123636584
132246428
14157d588
15dcd4ca
hexa096b4

10524340 has 48 divisors (see below), whose sum is σ = 23369472. Its totient is φ = 3973376.

The previous prime is 10524313. The next prime is 10524341. The reversal of 10524340 is 4342501.

It is a super-2 number, since 2×105243402 = 221523464871200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62937 + ... + 63103.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 210524340 is an apocalyptic number.

10524340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736).

10524340 is an abundant number, since it is smaller than the sum of its proper divisors (12845132).

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

10524340 is a wasteful number, since it uses less digits than its factorization.

10524340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10524340 is about 3244.1239187183. The cubic root of 10524340 is about 219.1450287945.

Adding to 10524340 its reverse (4342501), we get a palindrome (14866841).

The spelling of 10524340 in words is "ten million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 167 230 274 334 460 548 668 685 835 1370 1670 2740 3151 3340 3841 6302 7682 12604 15364 15755 19205 22879 31510 38410 45758 63020 76820 91516 114395 228790 457580 526217 1052434 2104868 2631085 5262170 10524340