Search a number
-
+
24023103520 = 2551329398261
BaseRepresentation
bin10110010111111000…
…110111100000100000
32022000012201002202211
4112113320313200200
5343144403303040
615011442251504
71510213003453
oct262770674040
968005632684
1024023103520
11a208463269
1247a5356b94
13235b028270
14123c73149a
159590568ea
hex597e37820

24023103520 has 96 divisors (see below), whose sum is σ = 63228075120. Its totient is φ = 8564183040.

The previous prime is 24023103469. The next prime is 24023103521. The reversal of 24023103520 is 2530132042.

It can be written as a sum of positive squares in 8 ways, for example, as 14931862416 + 9091241104 = 122196^2 + 95348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24023103491 and 24023103500.

It is not an unprimeable number, because it can be changed into a prime (24023103521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138811 + ... + 259450.

Almost surely, 224023103520 is an apocalyptic number.

24023103520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24023103520 is an abundant number, since it is smaller than the sum of its proper divisors (39204971600).

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

24023103520 is a wasteful number, since it uses less digits than its factorization.

24023103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398318 (or 398310 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 24023103520 its reverse (2530132042), we get a palindrome (26553235562).

The spelling of 24023103520 in words is "twenty-four billion, twenty-three million, one hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 398261 796522 1593044 1991305 3186088 3982610 5177393 6372176 7965220 10354786 11549569 12744352 15930440 20709572 23099138 25886965 31860880 41419144 46198276 51773930 57747845 63721760 82838288 92396552 103547860 115495690 150144397 165676576 184793104 207095720 230991380 300288794 369586208 414191440 461982760 600577588 750721985 828382880 923965520 1201155176 1501443970 1847931040 2402310352 3002887940 4804620704 6005775880 12011551760 24023103520