Search a number
-
+
1040331000 = 23353577601
BaseRepresentation
bin111110000000100…
…011000011111000
32200111120021211210
4332000203003320
54112311043000
6251121523120
734531444662
oct7600430370
92614507753
101040331000
11494270095
122504a34a0
131376bb597
149c249532
15614eb350
hex3e0230f8

1040331000 has 128 divisors (see below), whose sum is σ = 3256868160. Its totient is φ = 276480000.

The previous prime is 1040330987. The next prime is 1040331023. The reversal of 1040331000 is 1330401.

It is a super-2 number, since 2×10403310002 = 2164577179122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1730700 + ... + 1731300.

Almost surely, 21040331000 is an apocalyptic number.

1040331000 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 1040331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628434080).

1040331000 is an abundant number, since it is smaller than the sum of its proper divisors (2216537160).

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

1040331000 is a wasteful number, since it uses less digits than its factorization.

1040331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1040331000 is about 32254.1625220684. The cubic root of 1040331000 is about 1013.2668782404.

Adding to 1040331000 its reverse (1330401), we get a palindrome (1041661401).

The spelling of 1040331000 in words is "one billion, forty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 577 600 601 750 1000 1154 1202 1500 1731 1803 2308 2404 2885 3000 3005 3462 3606 4616 4808 5770 6010 6924 7212 8655 9015 11540 12020 13848 14424 14425 15025 17310 18030 23080 24040 28850 30050 34620 36060 43275 45075 57700 60100 69240 72120 72125 75125 86550 90150 115400 120200 144250 150250 173100 180300 216375 225375 288500 300500 346200 346777 360600 432750 450750 577000 601000 693554 865500 901500 1040331 1387108 1731000 1733885 1803000 2080662 2774216 3467770 4161324 5201655 6935540 8322648 8669425 10403310 13871080 17338850 20806620 26008275 34677700 41613240 43347125 52016550 69355400 86694250 104033100 130041375 173388500 208066200 260082750 346777000 520165500 1040331000