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10430112 = 2537111783
BaseRepresentation
bin100111110010…
…011010100000
3201121220102110
4213302122200
510132230422
61011315320
7154440330
oct47623240
921556373
1010430112
115984330
1235abb40
132212584
1415570c0
15db060c
hex9f26a0

10430112 has 192 divisors, whose sum is σ = 36578304. Its totient is φ = 2519040.

The previous prime is 10430087. The next prime is 10430131. The reversal of 10430112 is 21103401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 125623 + ... + 125705.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 210430112 is an apocalyptic number.

10430112 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 10430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

10430112 is an abundant number, since it is smaller than the sum of its proper divisors (26148192).

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

10430112 is a wasteful number, since it uses less digits than its factorization.

10430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10430112 is about 3229.5683922159. The cubic root of 10430112 is about 218.4890404290.

Adding to 10430112 its reverse (21103401), we get a palindrome (31533513).

Subtracting 10430112 from its reverse (21103401), we obtain a square (10673289 = 32672).

The spelling of 10430112 in words is "ten million, four hundred thirty thousand, one hundred twelve".