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1025000 = 235541
BaseRepresentation
bin11111010001111101000
31221002000222
43322033220
5230300000
633545212
711466224
oct3721750
91832028
101025000
11640109
12415208
1329b712
141c9784
15153a85
hexfa3e8

1025000 has 48 divisors (see below), whose sum is σ = 2460780. Its totient is φ = 400000.

The previous prime is 1024997. The next prime is 1025009. The reversal of 1025000 is 5201.

It can be written as a sum of positive squares in 6 ways, for example, as 362404 + 662596 = 602^2 + 814^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24980 + ... + 25020.

21025000 is an apocalyptic number.

1025000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230390).

1025000 is an abundant number, since it is smaller than the sum of its proper divisors (1435780).

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

1025000 is an frugal number, since it uses more digits than its factorization.

1025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1025000 is about 1012.4228365658. The cubic root of 1025000 is about 100.8264837609.

It can be divided in two parts, 10 and 25000, that multiplied together give a square (250000 = 5002).

The spelling of 1025000 in words is "one million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 3125 4100 5000 5125 6250 8200 10250 12500 20500 25000 25625 41000 51250 102500 128125 205000 256250 512500 1025000