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10382022 = 2327279149
BaseRepresentation
bin100111100110…
…101011000110
3201112110110100
4213212223012
510124211042
61010304530
7154150200
oct47465306
921473410
1010382022
115951192
123588146
1321c6711
141543770
15da124c
hex9e6ac6

10382022 has 72 divisors (see below), whose sum is σ = 26676000. Its totient is φ = 2909088.

The previous prime is 10382003. The next prime is 10382023. The reversal of 10382022 is 22028301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10381986 and 10382004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382023) 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 35 ways as a sum of consecutive naturals, for example, 69604 + ... + 69752.

It is an arithmetic number, because the mean of its divisors is an integer number (370500).

Almost surely, 210382022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10382022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338000).

10382022 is an abundant number, since it is smaller than the sum of its proper divisors (16293978).

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

10382022 is a wasteful number, since it uses less digits than its factorization.

10382022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10382022 is about 3222.1145231044. The cubic root of 10382022 is about 218.1527280345.

The spelling of 10382022 in words is "ten million, three hundred eighty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 98 126 147 149 158 237 294 298 441 447 474 553 711 882 894 1043 1106 1341 1422 1659 2086 2682 3129 3318 3871 4977 6258 7301 7742 9387 9954 11613 11771 14602 18774 21903 23226 23542 34839 35313 43806 65709 69678 70626 82397 105939 131418 164794 211878 247191 494382 576779 741573 1153558 1483146 1730337 3460674 5191011 10382022