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8125840 = 245101573
BaseRepresentation
bin11110111111110110010000
3120021211120001
4132333312100
54040011330
6450055344
7126032332
oct36776620
916254501
108125840
114650078
12287a554
1318b67b8
141117452
15aa79ca
hex7bfd90

8125840 has 20 divisors (see below), whose sum is σ = 18892764. Its totient is φ = 3250304.

The previous prime is 8125837. The next prime is 8125867. The reversal of 8125840 is 485218.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 4393216 = 1932^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8125799 and 8125808.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50707 + ... + 50866.

Almost surely, 28125840 is an apocalyptic number.

8125840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8125840 is an abundant number, since it is smaller than the sum of its proper divisors (10766924).

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

8125840 is a wasteful number, since it uses less digits than its factorization.

8125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101586 (or 101580 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 8125840 is about 2850.5859046870. The cubic root of 8125840 is about 201.0432157105.

It can be divided in two parts, 81 and 25840, that added together give a square (25921 = 1612).

The spelling of 8125840 in words is "eight million, one hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101573 203146 406292 507865 812584 1015730 1625168 2031460 4062920 8125840