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10412010 = 233572787
BaseRepresentation
bin100111101101…
…111111101010
3201120222121000
4213231333222
510131141020
61011055430
7154333500
oct47557752
921528530
1010412010
115971774
1235a1576
13220726b
141550670
15daa090
hex9edfea

10412010 has 96 divisors (see below), whose sum is σ = 32339520. Its totient is φ = 2376864.

The previous prime is 10411997. The next prime is 10412027. The reversal of 10412010 is 1021401.

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 = 10411983 and 10412001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12837 + ... + 13623.

It is an arithmetic number, because the mean of its divisors is an integer number (336870).

Almost surely, 210412010 is an apocalyptic number.

10412010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169760).

10412010 is an abundant number, since it is smaller than the sum of its proper divisors (21927510).

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

10412010 is a wasteful number, since it uses less digits than its factorization.

10412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

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

The square root of 10412010 is about 3226.7646334990. The cubic root of 10412010 is about 218.3625675492.

Adding to 10412010 its reverse (1021401), we get a palindrome (11433411).

The spelling of 10412010 in words is "ten million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 787 882 945 1323 1470 1574 1890 2205 2361 2646 3935 4410 4722 5509 6615 7083 7870 11018 11805 13230 14166 16527 21249 23610 27545 33054 35415 38563 42498 49581 55090 70830 77126 82635 99162 106245 115689 148743 165270 192815 212490 231378 247905 297486 347067 385630 495810 578445 694134 743715 1041201 1156890 1487430 1735335 2082402 3470670 5206005 10412010