Search a number
-
+
24330046260 = 223513311100297
BaseRepresentation
bin10110101010001011…
…110000101100110100
32022210121021102001110
4112222023300230310
5344311442440020
615102125155020
71520630660322
oct265213605464
968717242043
1024330046260
11a355749953
1248700bba70
1323a97b71a0
14126b3d0d12
15975e878e0
hex5aa2f0b34

24330046260 has 96 divisors (see below), whose sum is σ = 73601079552. Its totient is φ = 5969617920.

The previous prime is 24330046259. The next prime is 24330046267. The reversal of 24330046260 is 6264003342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24330046267) 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 31 ways as a sum of consecutive naturals, for example, 192432 + ... + 292728.

It is an arithmetic number, because the mean of its divisors is an integer number (766677912).

Almost surely, 224330046260 is an apocalyptic number.

24330046260 is a gapful number since it is divisible by the number (20) 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 24330046260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800539776).

24330046260 is an abundant number, since it is smaller than the sum of its proper divisors (49271033292).

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

24330046260 is a wasteful number, since it uses less digits than its factorization.

24330046260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100633 (or 100631 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 24330046260 in words is "twenty-four billion, three hundred thirty million, forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 311 390 622 780 933 1244 1555 1866 3110 3732 4043 4665 6220 8086 9330 12129 16172 18660 20215 24258 40430 48516 60645 80860 100297 121290 200594 242580 300891 401188 501485 601782 1002970 1203564 1303861 1504455 2005940 2607722 3008910 3911583 5215444 6017820 6519305 7823166 13038610 15646332 19557915 26077220 31192367 39115830 62384734 78231660 93577101 124769468 155961835 187154202 311923670 374308404 405500771 467885505 623847340 811001542 935771010 1216502313 1622003084 1871542020 2027503855 2433004626 4055007710 4866009252 6082511565 8110015420 12165023130 24330046260