Search a number
-
+
10412592 = 243534093
BaseRepresentation
bin100111101110…
…001000110000
3201121000101120
4213232020300
510131200332
61011102240
7154335261
oct47561060
921530346
1010412592
115972153
1235a1980
1322075c8
141550968
15daa32c
hex9ee230

10412592 has 40 divisors (see below), whose sum is σ = 27413424. Its totient is φ = 3404544.

The previous prime is 10412587. The next prime is 10412657. The reversal of 10412592 is 29521401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 498 + ... + 4590.

Almost surely, 210412592 is an apocalyptic number.

10412592 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 10412592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706712).

10412592 is an abundant number, since it is smaller than the sum of its proper divisors (17000832).

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

10412592 is a wasteful number, since it uses less digits than its factorization.

10412592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10412592 is about 3226.8548154511. The cubic root of 10412592 is about 218.3666360766.

Adding to 10412592 its reverse (29521401), we get a palindrome (39933993).

The spelling of 10412592 in words is "ten million, four hundred twelve thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4093 8186 12279 16372 24558 32744 49116 65488 98232 196464 216929 433858 650787 867716 1301574 1735432 2603148 3470864 5206296 10412592