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103640022 = 23219674523
BaseRepresentation
bin1100010110101…
…10101111010110
321020000110101100
412023112233112
5203012440042
614141210530
72365632333
oct613265726
9236013340
10103640022
1153558312
122a860a46
1318619575
14da9b98a
15917324c
hex62d6bd6

103640022 has 48 divisors (see below), whose sum is σ = 239952960. Its totient is φ = 32232816.

The previous prime is 103639999. The next prime is 103640023. The reversal of 103640022 is 220046301.

It is a happy number.

103640022 is a `hidden beast` number, since 1 + 0 + 3 + 640 + 0 + 22 = 666.

It is a super-3 number, since 3×1036400223 (a number of 25 digits) contains 333 as substring.

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 = 103639977 and 103640004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103640023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20653 + ... + 25175.

It is an arithmetic number, because the mean of its divisors is an integer number (4999020).

Almost surely, 2103640022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103640022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119976480).

103640022 is an abundant number, since it is smaller than the sum of its proper divisors (136312938).

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

103640022 is a wasteful number, since it uses less digits than its factorization.

103640022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103640022 is about 10180.3743546100. The cubic root of 103640022 is about 469.7237277817.

Adding to 103640022 its reverse (220046301), we get a palindrome (323686323).

The spelling of 103640022 in words is "one hundred three million, six hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 402 603 1206 1273 2546 3819 4523 7638 9046 11457 13569 22914 27138 40707 81414 85937 171874 257811 303041 515622 606082 773433 909123 1546866 1818246 2727369 5454738 5757779 11515558 17273337 34546674 51820011 103640022