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10010412 = 2233591571
BaseRepresentation
bin100110001011…
…111100101100
3200211120201000
4212023330230
510030313122
6554320300
7151041606
oct46137454
920746630
1010010412
115717a75
123429090
1320c6529
141488176
15d2b0ac
hex98bf2c

10010412 has 48 divisors (see below), whose sum is σ = 26409600. Its totient is φ = 3278160.

The previous prime is 10010411. The next prime is 10010419. The reversal of 10010412 is 21401001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010394 and 10010403.

It is not an unprimeable number, because it can be changed into a prime (10010411) 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, 5587 + ... + 7157.

It is an arithmetic number, because the mean of its divisors is an integer number (550200).

Almost surely, 210010412 is an apocalyptic number.

10010412 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 10010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204800).

10010412 is an abundant number, since it is smaller than the sum of its proper divisors (16399188).

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

10010412 is a wasteful number, since it uses less digits than its factorization.

10010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10010412 is about 3163.9235136141. The cubic root of 10010412 is about 215.5182163135.

Adding to 10010412 its reverse (21401001), we get a palindrome (31411413).

The spelling of 10010412 in words is "ten million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1571 1593 2124 3142 3186 4713 6284 6372 9426 14139 18852 28278 42417 56556 84834 92689 169668 185378 278067 370756 556134 834201 1112268 1668402 2502603 3336804 5005206 10010412