Search a number
-
+
1023617125 = 538188937
BaseRepresentation
bin111101000000110…
…010100001100101
32122100010010201101
4331000302201211
54044021222000
6245323400101
734236413326
oct7500624145
92570103641
101023617125
11485894773
12246983031
131340b8b0b
1499d3844d
155ece8e6a
hex3d032865

1023617125 has 8 divisors (see below), whose sum is σ = 1277474328. Its totient is φ = 818893600.

The previous prime is 1023617113. The next prime is 1023617129. The reversal of 1023617125 is 5217163201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 1023616036 = 33^2 + 31994^2 .

It is not a de Polignac number, because 1023617125 - 221 = 1021519973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023617093 and 1023617102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023617129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4094344 + ... + 4094593.

It is an arithmetic number, because the mean of its divisors is an integer number (159684291).

Almost surely, 21023617125 is an apocalyptic number.

It is an amenable number.

1023617125 is a deficient number, since it is larger than the sum of its proper divisors (253857203).

1023617125 is an frugal number, since it uses more digits than its factorization.

1023617125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188952 (or 8188942 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1023617125 is about 31994.0170188115. The cubic root of 1023617125 is about 1007.8112012683.

The spelling of 1023617125 in words is "one billion, twenty-three million, six hundred seventeen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 8188937 40944685 204723425 1023617125