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106826412 = 223711115613
BaseRepresentation
bin1100101111000…
…00101010101100
321110000100021210
412113200222230
5204321421122
614333354420
72435003160
oct627405254
9243010253
10106826412
11553342a0
122b938a10
13191939c4
141028aca0
1595a240c
hex65e0aac

106826412 has 48 divisors (see below), whose sum is σ = 310770432. Its totient is φ = 27746880.

The previous prime is 106826399. The next prime is 106826413. The reversal of 106826412 is 214628601.

It is a super-2 number, since 2×1068264122 = 22823764601587488, 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 106826412.

It is not an unprimeable number, because it can be changed into a prime (106826413) 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, 56883 + ... + 58730.

It is an arithmetic number, because the mean of its divisors is an integer number (6474384).

Almost surely, 2106826412 is an apocalyptic number.

106826412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106826412 is an abundant number, since it is smaller than the sum of its proper divisors (203944020).

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

106826412 is a wasteful number, since it uses less digits than its factorization.

106826412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115638 (or 115636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106826412 is about 10335.6863342499. The cubic root of 106826412 is about 474.4890713053.

The spelling of 106826412 in words is "one hundred six million, eight hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 115613 231226 346839 462452 693678 809291 1271743 1387356 1618582 2427873 2543486 3237164 3815229 4855746 5086972 7630458 8902201 9711492 15260916 17804402 26706603 35608804 53413206 106826412