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106674440 = 2352666861
BaseRepresentation
bin1100101101110…
…11100100001000
321102201121211012
412112323210020
5204302040230
614330223052
72433501125
oct626734410
9242647735
10106674440
11552400a4
122b884a88
131913c792
141024b74c
159572395
hex65bb908

106674440 has 16 divisors (see below), whose sum is σ = 240017580. Its totient is φ = 42669760.

The previous prime is 106674433. The next prime is 106674457. The reversal of 106674440 is 44476601.

It can be written as a sum of positive squares in 2 ways, for example, as 105555076 + 1119364 = 10274^2 + 1058^2 .

It is a super-2 number, since 2×1066744402 = 22758872298627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106674397 and 106674406.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1333391 + ... + 1333470.

Almost surely, 2106674440 is an apocalyptic number.

106674440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106674440 is an abundant number, since it is smaller than the sum of its proper divisors (133343140).

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

106674440 is a wasteful number, since it uses less digits than its factorization.

106674440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666872 (or 2666868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 106674440 is about 10328.3319079123. The cubic root of 106674440 is about 474.2639607010.

The spelling of 106674440 in words is "one hundred six million, six hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2666861 5333722 10667444 13334305 21334888 26668610 53337220 106674440