Search a number
-
+
24052330120 = 2357213272613
BaseRepresentation
bin10110011001101000…
…010110111010001000
32022002020200222010111
4112121220112322020
5343224344030440
615014404524104
71511016301300
oct263150267210
968066628114
1024052330120
11a222a05685
1247b30b0634
1323640bc200
14124257c600
1595b8cb4ea
hex599a16e88

24052330120 has 144 divisors (see below), whose sum is σ = 68169297060. Its totient is φ = 7612061184.

The previous prime is 24052330117. The next prime is 24052330121. The reversal of 24052330120 is 2103325042.

It can be written as a sum of positive squares in 6 ways, for example, as 5140029636 + 18912300484 = 71694^2 + 137522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24052330091 and 24052330100.

It is not an unprimeable number, because it can be changed into a prime (24052330121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294934 + ... + 367546.

Almost surely, 224052330120 is an apocalyptic number.

24052330120 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 24052330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084648530).

24052330120 is an abundant number, since it is smaller than the sum of its proper divisors (44116966940).

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

24052330120 is a wasteful number, since it uses less digits than its factorization.

24052330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72664 (or 72640 counting only the distinct ones).

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

Adding to 24052330120 its reverse (2103325042), we get a palindrome (26155655162).

The spelling of 24052330120 in words is "twenty-four billion, fifty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1690 1820 1960 2366 2548 3185 3380 3640 4732 5096 5915 6370 6760 8281 9464 11830 12740 16562 23660 25480 33124 41405 47320 66248 72613 82810 145226 165620 290452 331240 363065 508291 580904 726130 943969 1016582 1452260 1887938 2033164 2541455 2904520 3558037 3775876 4066328 4719845 5082910 6607783 7116074 7551752 9439690 10165820 12271597 13215566 14232148 17790185 18879380 20331640 24543194 26431132 28464296 33038915 35580370 37758760 46254481 49086388 52862264 61357985 66077830 71160740 85901179 92508962 98172776 122715970 132155660 142321480 171802358 185017924 231272405 245431940 264311320 343604716 370035848 429505895 462544810 490863880 601308253 687209432 859011790 925089620 1202616506 1718023580 1850179240 2405233012 3006541265 3436047160 4810466024 6013082530 12026165060 24052330120