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105622740 = 22325586793
BaseRepresentation
bin1100100101110…
…10110011010100
321100202012011100
412102322303110
5204014411430
614251510100
72421531006
oct622726324
9240665140
10105622740
1154691a23
122b458330
1318b61b82
1410056376
159415960
hex64bacd4

105622740 has 36 divisors (see below), whose sum is σ = 320389524. Its totient is φ = 28166016.

The previous prime is 105622733. The next prime is 105622747. The reversal of 105622740 is 47226501.

It is an interprime number because it is at equal distance from previous prime (105622733) and next prime (105622747).

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 29095236 = 8748^2 + 5394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1056227402 = 22312326410215200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105622747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293217 + ... + 293576.

It is an arithmetic number, because the mean of its divisors is an integer number (8899709).

Almost surely, 2105622740 is an apocalyptic number.

105622740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105622740 is an abundant number, since it is smaller than the sum of its proper divisors (214766784).

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

105622740 is a wasteful number, since it uses less digits than its factorization.

105622740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586808 (or 586803 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105622740 is about 10277.2924449974. The cubic root of 105622740 is about 472.7002258822.

The spelling of 105622740 in words is "one hundred five million, six hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 586793 1173586 1760379 2347172 2933965 3520758 5281137 5867930 7041516 8801895 10562274 11735860 17603790 21124548 26405685 35207580 52811370 105622740