Search a number
-
+
1023000000 = 263561131
BaseRepresentation
bin111100111110011…
…011110111000000
32122021221210011220
4330332123313000
54043342000000
6245302235040
734231233201
oct7476336700
92567853156
101023000000
11485503050
12246725a80
13133c30c59
1499c175a8
155ec261a0
hex3cf9bdc0

1023000000 has 392 divisors, whose sum is σ = 3809951232. Its totient is φ = 240000000.

The previous prime is 1022999987. The next prime is 1023000023. The reversal of 1023000000 is 3201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32999985 + ... + 33000015.

Almost surely, 21023000000 is an apocalyptic number.

1023000000 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 1023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904975616).

1023000000 is an abundant number, since it is smaller than the sum of its proper divisors (2786951232).

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

1023000000 is an frugal number, since it uses more digits than its factorization.

1023000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1023000000 is about 31984.3711834390. The cubic root of 1023000000 is about 1007.6086286130.

Adding to 1023000000 its reverse (3201), we get a palindrome (1023003201).

The spelling of 1023000000 in words is "one billion, twenty-three million", and thus it is an aban number and an uban number.