Search a number
-
+
1025383590 = 2335711313743
BaseRepresentation
bin111101000111100…
…001110010100110
32122110102212212000
4331013201302212
54044444233330
6245425310130
734260421350
oct7507416246
92573385760
101025383590
11486890960
12247495346
13134586b6a
149a2780d0
1560047560
hex3d1e1ca6

1025383590 has 512 divisors, whose sum is σ = 3698196480. Its totient is φ = 195955200.

The previous prime is 1025383589. The next prime is 1025383591. The reversal of 1025383590 is 953835201.

1025383590 is a `hidden beast` number, since 1 + 0 + 2 + 538 + 35 + 90 = 666.

1025383590 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1025383589) and next prime (1025383591).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025383591) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23846109 + ... + 23846151.

It is an arithmetic number, because the mean of its divisors is an integer number (7223040).

Almost surely, 21025383590 is an apocalyptic number.

1025383590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025383590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849098240).

1025383590 is an abundant number, since it is smaller than the sum of its proper divisors (2672812890).

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

1025383590 is a wasteful number, since it uses less digits than its factorization.

1025383590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1025383590 is about 32021.6112961231. The cubic root of 1025383590 is about 1008.3905976327.

The spelling of 1025383590 in words is "one billion, twenty-five million, three hundred eighty-three thousand, five hundred ninety".