Search a number
-
+
10523112 = 2331947491
BaseRepresentation
bin101000001001…
…000111101000
3201210121222220
4220021013220
510143214422
61013314040
7155305425
oct50110750
921717886
1010523112
115a38196
123635920
1322459c2
14157cd4c
15dcce5c
hexa091e8

10523112 has 64 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 3245760.

The previous prime is 10523111. The next prime is 10523113. The reversal of 10523112 is 21132501.

It is an interprime number because it is at equal distance from previous prime (10523111) and next prime (10523113).

It is a super-2 number, since 2×105231122 = 221471772329088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10523091 and 10523100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523111) 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, 21187 + ... + 21677.

It is an arithmetic number, because the mean of its divisors is an integer number (442800).

Almost surely, 210523112 is an apocalyptic number.

10523112 is a gapful number since it is divisible by the number (12) 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 10523112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).

10523112 is an abundant number, since it is smaller than the sum of its proper divisors (17816088).

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

10523112 is a wasteful number, since it uses less digits than its factorization.

10523112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10523112 is about 3243.9346479237. The cubic root of 10523112 is about 219.1365050434.

Adding to 10523112 its reverse (21132501), we get a palindrome (31655613).

The spelling of 10523112 in words is "ten million, five hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 491 564 893 982 1128 1473 1786 1964 2679 2946 3572 3928 5358 5892 7144 9329 10716 11784 18658 21432 23077 27987 37316 46154 55974 69231 74632 92308 111948 138462 184616 223896 276924 438463 553848 876926 1315389 1753852 2630778 3507704 5261556 10523112