Search a number
-
+
1024010240 = 2115119091
BaseRepresentation
bin111101000010010…
…010100000000000
32122100212002222012
4331002102200000
54044121311430
6245340032052
734242641411
oct7502224000
92570762865
101024010240
11486033060
12246b32628
131341c5a26
1499ddb808
155ed75695
hex3d092800

1024010240 has 96 divisors (see below), whose sum is σ = 2680685280. Its totient is φ = 372326400.

The previous prime is 1024010231. The next prime is 1024010257. The reversal of 1024010240 is 420104201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108095 + ... + 117185.

It is an arithmetic number, because the mean of its divisors is an integer number (27923805).

Almost surely, 21024010240 is an apocalyptic number.

1024010240 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 1024010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340342640).

1024010240 is an abundant number, since it is smaller than the sum of its proper divisors (1656675040).

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

1024010240 is an equidigital number, since it uses as much as digits as its factorization.

1024010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1024010240 is about 32000.1599996000. The cubic root of 1024010240 is about 1007.9401996942.

Adding to 1024010240 its reverse (420104201), we get a palindrome (1444114441).

The spelling of 1024010240 in words is "one billion, twenty-four million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 9091 10240 11264 14080 18182 22528 28160 36364 45455 56320 72728 90910 100001 112640 145456 181820 200002 290912 363640 400004 500005 581824 727280 800008 1000010 1163648 1454560 1600016 2000020 2327296 2909120 3200032 4000040 4654592 5818240 6400064 8000080 9309184 11636480 12800128 16000160 18618368 23272960 25600256 32000320 46545920 51200512 64000640 93091840 102401024 128001280 204802048 256002560 512005120 1024010240