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1042031040 = 26354325243
BaseRepresentation
bin111110000111000…
…010000111000000
32200121202122212020
4332013002013000
54113224443130
6251222201440
734552055241
oct7607020700
92617678766
101042031040
11495221386
12250b83280
13137b6531b
149c56ccc8
1561734e10
hex3e1c21c0

1042031040 has 112 divisors (see below), whose sum is σ = 3385523328. Its totient is φ = 271401984.

The previous prime is 1042031021. The next prime is 1042031047. The reversal of 1042031040 is 401302401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042031047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28659 + ... + 53901.

Almost surely, 21042031040 is an apocalyptic number.

1042031040 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 1042031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692761664).

1042031040 is an abundant number, since it is smaller than the sum of its proper divisors (2343492288).

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

1042031040 is a wasteful number, since it uses less digits than its factorization.

1042031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25306 (or 25296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1042031040 is about 32280.5055722490. The cubic root of 1042031040 is about 1013.8185157347.

Adding to 1042031040 its reverse (401302401), we get a palindrome (1443333441).

The spelling of 1042031040 in words is "one billion, forty-two million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 25243 41280 50486 75729 100972 126215 151458 201944 252430 302916 378645 403888 504860 605832 757290 807776 1009720 1085449 1211664 1514580 1615552 2019440 2170898 2423328 3029160 3256347 4038880 4341796 4846656 5427245 6058320 6512694 8077760 8683592 10854490 12116640 13025388 16281735 17367184 21708980 24233280 26050776 32563470 34734368 43417960 52101552 65126940 69468736 86835920 104203104 130253880 173671840 208406208 260507760 347343680 521015520 1042031040