Search a number
-
+
1024424010 = 23457191759
BaseRepresentation
bin111101000011110…
…111100001001010
32122101122010120000
4331003313201022
54044223032020
6245352543430
734246313631
oct7503674112
92571563500
101024424010
11486295a15
122470b1b76
1313430c16c
149a0a8518
155ee08090
hex3d0f784a

1024424010 has 80 divisors (see below), whose sum is σ = 2759961600. Its totient is φ = 272644704.

The previous prime is 1024423999. The next prime is 1024424039. The reversal of 1024424010 is 104244201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 581511 + ... + 583269.

It is an arithmetic number, because the mean of its divisors is an integer number (34499520).

Almost surely, 21024424010 is an apocalyptic number.

1024424010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024424010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379980800).

1024424010 is an abundant number, since it is smaller than the sum of its proper divisors (1735537590).

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

1024424010 is a wasteful number, since it uses less digits than its factorization.

1024424010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024424010 is about 32006.6244705686. The cubic root of 1024424010 is about 1008.0759402821.

Adding to 1024424010 its reverse (104244201), we get a palindrome (1128668211).

The spelling of 1024424010 in words is "one billion, twenty-four million, four hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 719 810 1438 1759 2157 3518 3595 4314 5277 6471 7190 8795 10554 10785 12942 15831 17590 19413 21570 26385 31662 32355 38826 47493 52770 58239 64710 79155 94986 97065 116478 142479 158310 194130 237465 284958 291195 474930 582390 712395 1264721 1424790 2529442 3794163 6323605 7588326 11382489 12647210 18970815 22764978 34147467 37941630 56912445 68294934 102442401 113824890 170737335 204884802 341474670 512212005 1024424010