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1023000040 = 23525575001
BaseRepresentation
bin111100111110011…
…011110111101000
32122021221210020101
4330332123313220
54043342000130
6245302235144
734231233256
oct7476336750
92567853211
101023000040
11485503087
12246725ab4
13133c30c8a
1499c175d6
155ec261ca
hex3cf9bde8

1023000040 has 16 divisors (see below), whose sum is σ = 2301750180. Its totient is φ = 409200000.

The previous prime is 1023000037. The next prime is 1023000047. The reversal of 1023000040 is 400003201.

It can be written as a sum of positive squares in 2 ways, for example, as 1017737604 + 5262436 = 31902^2 + 2294^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022999990 and 1023000026.

It is not an unprimeable number, because it can be changed into a prime (1023000047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12787461 + ... + 12787540.

Almost surely, 21023000040 is an apocalyptic number.

1023000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023000040 is an abundant number, since it is smaller than the sum of its proper divisors (1278750140).

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

1023000040 is a wasteful number, since it uses less digits than its factorization.

1023000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25575012 (or 25575008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1023000040 is about 31984.3718087443. The cubic root of 1023000040 is about 1007.6086417457.

Adding to 1023000040 its reverse (400003201), we get a palindrome (1423003241).

The spelling of 1023000040 in words is "one billion, twenty-three million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 20 40 25575001 51150002 102300004 127875005 204600008 255750010 511500020 1023000040