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106312256 = 262372223
BaseRepresentation
bin1100101011000…
…11001001000000
321102001012222222
412111203021000
5204203443011
614314350212
72430432161
oct625431100
9242035888
10106312256
1155012a76
122b72b368
131904397b
1410195768
1594eeddb
hex6563240

106312256 has 28 divisors (see below), whose sum is σ = 220138752. Its totient is φ = 50844288.

The previous prime is 106312249. The next prime is 106312259. The reversal of 106312256 is 652213601.

It is a super-2 number, since 2×1063122562 = 22604591551619072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106312259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34640 + ... + 37583.

Almost surely, 2106312256 is an apocalyptic number.

106312256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106312256 is an abundant number, since it is smaller than the sum of its proper divisors (113826496).

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

106312256 is an equidigital number, since it uses as much as digits as its factorization.

106312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72258 (or 72248 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106312256 is about 10310.7834813849. The cubic root of 106312256 is about 473.7266074038.

Adding to 106312256 its reverse (652213601), we get a palindrome (758525857).

The spelling of 106312256 in words is "one hundred six million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 72223 144446 288892 577784 1155568 1661129 2311136 3322258 4622272 6644516 13289032 26578064 53156128 106312256