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106294000 = 245353147
BaseRepresentation
bin1100101010111…
…10101011110000
321102000021221211
412111132223300
5204202402000
614314125504
72430325021
oct625365360
9242007854
10106294000
115500028a
122b720894
1319038577
141018cc48
1594e97ba
hex655eaf0

106294000 has 40 divisors (see below), whose sum is σ = 257023728. Its totient is φ = 42516800.

The previous prime is 106293973. The next prime is 106294031. The reversal of 106294000 is 492601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1062940002 = 22596828872000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24574 + ... + 28573.

Almost surely, 2106294000 is an apocalyptic number.

106294000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106294000 is an abundant number, since it is smaller than the sum of its proper divisors (150729728).

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

106294000 is an equidigital number, since it uses as much as digits as its factorization.

106294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53170 (or 53154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106294000 is about 10309.8981566260. The cubic root of 106294000 is about 473.6994896523.

The spelling of 106294000 in words is "one hundred six million, two hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 53147 106294 212588 265735 425176 531470 850352 1062940 1328675 2125880 2657350 4251760 5314700 6643375 10629400 13286750 21258800 26573500 53147000 106294000