Search a number
-
+
23720790030 = 23571716214099
BaseRepresentation
bin10110000101110111…
…101000100000001110
32021020010211222121220
4112011313220200032
5342040010240110
614521442504210
71466552250150
oct260567504016
967203758556
1023720790030
11a072849703
124720065066
1323104ca442
141210518ad0
1593c73c370
hex585de880e

23720790030 has 128 divisors (see below), whose sum is σ = 68949273600. Its totient is φ = 5098567680.

The previous prime is 23720790029. The next prime is 23720790073. The reversal of 23720790030 is 3009702732.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23720789973 and 23720790000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5784921 + ... + 5789019.

It is an arithmetic number, because the mean of its divisors is an integer number (538666200).

Almost surely, 223720790030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23720790030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34474636800).

23720790030 is an abundant number, since it is smaller than the sum of its proper divisors (45228483570).

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

23720790030 is a wasteful number, since it uses less digits than its factorization.

23720790030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754.

The product of its (nonzero) digits is 15876, while the sum is 33.

The spelling of 23720790030 in words is "twenty-three billion, seven hundred twenty million, seven hundred ninety thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1621 1785 3242 3570 4099 4863 8105 8198 9726 11347 12297 16210 20495 22694 24315 24594 27557 28693 34041 40990 48630 55114 56735 57386 61485 68082 69683 82671 86079 113470 122970 137785 139366 143465 165342 170205 172158 192899 209049 275570 286930 340410 348415 385798 413355 418098 430395 487781 578697 696830 826710 860790 964495 975562 1045245 1157394 1463343 1928990 2090490 2438905 2893485 2926686 4877810 5786970 6644479 7316715 13288958 14633430 19933437 33222395 39866874 46511353 66444790 93022706 99667185 112956143 139534059 199334370 225912286 232556765 279068118 338868429 465113530 564780715 677736858 697670295 790693001 1129561430 1395340590 1581386002 1694342145 2372079003 3388684290 3953465005 4744158006 7906930010 11860395015 23720790030