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10004412 = 22311193989
BaseRepresentation
bin100110001010…
…011110111100
3200211021110210
4212022132330
510030120122
6554232420
7151015245
oct46123674
920737423
1010004412
115713510
123425710
1320c3892
141485ccc
15d2940c
hex98a7bc

10004412 has 48 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 2871360.

The previous prime is 10004411. The next prime is 10004447. The reversal of 10004412 is 21440001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 210004412 is an apocalyptic number.

10004412 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 10004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

10004412 is an abundant number, since it is smaller than the sum of its proper divisors (16808388).

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

10004412 is a wasteful number, since it uses less digits than its factorization.

10004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10004412 is about 3162.9751816921. The cubic root of 10004412 is about 215.4751488974.

Adding to 10004412 its reverse (21440001), we get a palindrome (31444413).

The spelling of 10004412 in words is "ten million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 3989 7978 11967 15956 23934 43879 47868 75791 87758 131637 151582 175516 227373 263274 303164 454746 526548 833701 909492 1667402 2501103 3334804 5002206 10004412