Search a number
-
+
1024622144 = 26721341613
BaseRepresentation
bin111101000100100…
…111111001000000
32122102000012100022
4331010213321000
54044300402034
6245401113012
734251100400
oct7504477100
92572005308
101024622144
11486410867
12247188768
1313437b3c0
149a11a800
155ee46b2e
hex3d127e40

1024622144 has 168 divisors, whose sum is σ = 2613510648. Its totient is φ = 394813440.

The previous prime is 1024622117. The next prime is 1024622161. The reversal of 1024622144 is 4412264201.

It can be written as a sum of positive squares in 4 ways, for example, as 192876544 + 831745600 = 13888^2 + 28840^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671182 + ... + 1671794.

It is an arithmetic number, because the mean of its divisors is an integer number (15556611).

Almost surely, 21024622144 is an apocalyptic number.

1024622144 is a gapful number since it is divisible by the number (14) 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 1024622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306755324).

1024622144 is an abundant number, since it is smaller than the sum of its proper divisors (1588888504).

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

1024622144 is a wasteful number, since it uses less digits than its factorization.

1024622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1024622144 is about 32009.7195239196. The cubic root of 1024622144 is about 1008.1409267984.

Adding to 1024622144 its reverse (4412264201), we get a palindrome (5436886345).

The spelling of 1024622144 in words is "one billion, twenty-four million, six hundred twenty-two thousand, one hundred forty-four".