Search a number
-
+
10024202440 = 235731096703
BaseRepresentation
bin10010101010111110…
…10011000011001000
3221212121022020122001
421111133103003020
5131012143434230
64334405240344
7503260213000
oct112537230310
927777266561
1010024202440
11428444572a
121b391030b4
13c39a12645
146b1463000
153da08e0ca
hex2557d30c8

10024202440 has 128 divisors (see below), whose sum is σ = 26547840000. Its totient is φ = 3404830464.

The previous prime is 10024202431. The next prime is 10024202443. The reversal of 10024202440 is 4420242001.

It is not an unprimeable number, because it can be changed into a prime (10024202443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492129 + ... + 1498831.

It is an arithmetic number, because the mean of its divisors is an integer number (207405000).

Almost surely, 210024202440 is an apocalyptic number.

10024202440 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 10024202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273920000).

10024202440 is an abundant number, since it is smaller than the sum of its proper divisors (16523637560).

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

10024202440 is a wasteful number, since it uses less digits than its factorization.

10024202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10024202440 its reverse (4420242001), we get a palindrome (14444444441).

The spelling of 10024202440 in words is "ten billion, twenty-four million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 109 140 196 218 245 280 343 392 436 490 545 686 763 872 980 1090 1372 1526 1715 1960 2180 2744 3052 3430 3815 4360 5341 6104 6703 6860 7630 10682 13406 13720 15260 21364 26705 26812 30520 33515 37387 42728 46921 53410 53624 67030 74774 93842 106820 134060 149548 186935 187684 213640 234605 268120 299096 328447 373870 375368 469210 656894 730627 747740 938420 1313788 1461254 1495480 1642235 1876840 2299129 2627576 2922508 3284470 3653135 4598258 5114389 5845016 6568940 7306270 9196516 10228778 11495645 13137880 14612540 18393032 20457556 22991290 25571945 29225080 35800723 40915112 45982580 51143890 71601446 91965160 102287780 143202892 179003615 204575560 250605061 286405784 358007230 501210122 716014460 1002420244 1253025305 1432028920 2004840488 2506050610 5012101220 10024202440