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125000020 = 2259764433
BaseRepresentation
bin1110111001101…
…01100101010100
322201012122210101
413130311211110
5224000000040
620223103444
73045324355
oct734654524
9281178711
10125000020
1164617402
1235a41b84
131cb87a12
141285bd2c
15ae9209a
hex7735954

125000020 has 24 divisors (see below), whose sum is σ = 265210344. Its totient is φ = 49483776.

The previous prime is 125000003. The next prime is 125000077. The reversal of 125000020 is 20000521.

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 116035984 = 2994^2 + 10772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 124999970 and 125000006.

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, 30277 + ... + 34156.

It is an arithmetic number, because the mean of its divisors is an integer number (11050431).

Almost surely, 2125000020 is an apocalyptic number.

125000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125000020 is an abundant number, since it is smaller than the sum of its proper divisors (140210324).

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

125000020 is a wasteful number, since it uses less digits than its factorization.

125000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64539 (or 64537 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 125000020 is about 11180.3407819261. The cubic root of 125000020 is about 500.0000266667. Note that the first 4 decimals are identical.

Subtracting from 125000020 its product of nonzero digits (20), we obtain a cube (125000000 = 5003).

Adding to 125000020 its reverse (20000521), we get a palindrome (145000541).

It can be divided in two parts, 1250000 and 20, that multiplied together give a square (25000000 = 50002).

The spelling of 125000020 in words is "one hundred twenty-five million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 64433 128866 257732 322165 644330 1288660 6250001 12500002 25000004 31250005 62500010 125000020