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10130912 = 2511171693
BaseRepresentation
bin100110101001…
…010111100000
3201001200222222
4212221113200
510043142122
61001050212
7152053121
oct46512740
921050888
1010130912
11579a560
123486968
13213932c
1414ba048
15d51b42
hex9a95e0

10130912 has 48 divisors (see below), whose sum is σ = 23051952. Its totient is φ = 4331520.

The previous prime is 10130909. The next prime is 10130921. The reversal of 10130912 is 21903101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5138 + ... + 6830.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 210130912 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 10130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525976).

10130912 is an abundant number, since it is smaller than the sum of its proper divisors (12921040).

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

10130912 is a wasteful number, since it uses less digits than its factorization.

10130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10130912 is about 3182.9093609464. The cubic root of 10130912 is about 216.3795339186.

It can be divided in two parts, 101 and 30912, that added together give a palindrome (31013).

The spelling of 10130912 in words is "ten million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 1693 2992 3386 5984 6772 13544 18623 27088 28781 37246 54176 57562 74492 115124 148984 230248 297968 316591 460496 595936 633182 920992 1266364 2532728 5065456 10130912