Search a number
-
+
105802326 = 23273592339
BaseRepresentation
bin1100100111001…
…10101001010110
321101002022111200
412103212221112
5204041133301
614255413330
72423206410
oct623465126
9241068450
10105802326
11547a4943
122b524246
1318bc5836
14100a19b0
15944dc86
hex64e6a56

105802326 has 48 divisors (see below), whose sum is σ = 262828800. Its totient is φ = 30132144.

The previous prime is 105802309. The next prime is 105802327. The reversal of 105802326 is 623208501.

It is a super-2 number, since 2×1058023262 = 22388264374020552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105802326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105802327) 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, 44065 + ... + 46403.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2105802326 is an apocalyptic number.

105802326 is an abundant number, since it is smaller than the sum of its proper divisors (157026474).

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

105802326 is a wasteful number, since it uses less digits than its factorization.

105802326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105802326 is about 10286.0257631410. The cubic root of 105802326 is about 472.9679784397.

The spelling of 105802326 in words is "one hundred five million, eight hundred two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 359 718 1077 2154 2339 2513 3231 4678 5026 6462 7017 7539 14034 15078 16373 21051 22617 32746 42102 45234 49119 98238 147357 294714 839701 1679402 2519103 5038206 5877907 7557309 11755814 15114618 17633721 35267442 52901163 105802326