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1040630032 = 241323375879
BaseRepresentation
bin111110000001101…
…100000100010000
32200112010111001001
4332001230010100
54112400130112
6251132151344
734534131541
oct7601540420
92615114031
101040630032
11494454822
12250608554
13137794720
149c2c64c8
1561559c57
hex3e06c110

1040630032 has 80 divisors (see below), whose sum is σ = 2327351040. Its totient is φ = 446916096.

The previous prime is 1040630011. The next prime is 1040630039. The reversal of 1040630032 is 2300360401.

It is a junction number, because it is equal to n+sod(n) for n = 1040629991 and 1040630009.

It is not an unprimeable number, because it can be changed into a prime (1040630039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174069 + ... + 179947.

It is an arithmetic number, because the mean of its divisors is an integer number (29091888).

Almost surely, 21040630032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163675520).

1040630032 is an abundant number, since it is smaller than the sum of its proper divisors (1286721008).

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

1040630032 is a wasteful number, since it uses less digits than its factorization.

1040630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1040630032 is about 32258.7977457313. The cubic root of 1040630032 is about 1013.3639531760.

Adding to 1040630032 its reverse (2300360401), we get a palindrome (3340990433).

The spelling of 1040630032 in words is "one billion, forty million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 37 46 52 74 92 104 148 184 208 296 299 368 481 592 598 851 962 1196 1702 1924 2392 3404 3848 4784 5879 6808 7696 11063 11758 13616 22126 23516 44252 47032 76427 88504 94064 135217 152854 177008 217523 270434 305708 435046 540868 611416 870092 1081736 1222832 1740184 1757821 2163472 2827799 3480368 3515642 5003029 5655598 7031284 10006058 11311196 14062568 20012116 22622392 28125136 40024232 45244784 65039377 80048464 130078754 260157508 520315016 1040630032