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10381224 = 2337611013
BaseRepresentation
bin100111100110…
…011110101000
3201112102100210
4213212132220
510124144344
61010301120
7154144650
oct47463650
921472323
1010381224
115950627
1235877a0
1321c6249
141543360
15da0db9
hex9e67a8

10381224 has 64 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 2914560.

The previous prime is 10381223. The next prime is 10381229. The reversal of 10381224 is 42218301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10381224.

It is not an unprimeable number, because it can be changed into a prime (10381223) 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, 9742 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 210381224 is an apocalyptic number.

10381224 is a gapful number since it is divisible by the number (14) 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 10381224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

10381224 is an abundant number, since it is smaller than the sum of its proper divisors (19795416).

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

10381224 is a wasteful number, since it uses less digits than its factorization.

10381224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10381224 is about 3221.9906889996. The cubic root of 10381224 is about 218.1471385537.

Adding to 10381224 its reverse (42218301), we get a palindrome (52599525).

The spelling of 10381224 in words is "ten million, three hundred eighty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1013 1281 1464 1708 2026 2562 3039 3416 4052 5124 6078 7091 8104 10248 12156 14182 21273 24312 28364 42546 56728 61793 85092 123586 170184 185379 247172 370758 432551 494344 741516 865102 1297653 1483032 1730204 2595306 3460408 5190612 10381224