| Base | Representation |
|---|---|
| bin | 111101100011000… |
| … | …100100110001000 |
| 3 | 2122222000201110002 |
| 4 | 331203010212020 |
| 5 | 4103321312130 |
| 6 | 250244142132 |
| 7 | 34405663256 |
| oct | 7543044610 |
| 9 | 2588021402 |
| 10 | 1032604040 |
| 11 | 48a972776 |
| 12 | 249997948 |
| 13 | 135c14510 |
| 14 | 9b1d75d6 |
| 15 | 609c1b45 |
| hex | 3d8c4988 |
1032604040 has 64 divisors (see below), whose sum is σ = 2515287600. Its totient is φ = 379256832.
The previous prime is 1032604033. The next prime is 1032604043. The reversal of 1032604040 is 404062301.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 337016164 + 695587876 = 18358^2 + 26374^2 .
It is a super-2 number, since 2×10326040402 = 2132542206848643200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (1032604043) 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 15 ways as a sum of consecutive naturals, for example, 95216 + ... + 105504.
Almost surely, 21032604040 is an apocalyptic number.
1032604040 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 1032604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257643800).
1032604040 is an abundant number, since it is smaller than the sum of its proper divisors (1482683560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1032604040 is a wasteful number, since it uses less digits than its factorization.
1032604040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10506 (or 10502 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 1032604040 is about 32134.1569050753. The cubic root of 1032604040 is about 1010.7519936368.
Adding to 1032604040 its reverse (404062301), we get a palindrome (1436666341).
The spelling of 1032604040 in words is "one billion, thirty-two million, six hundred four thousand, forty".
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