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4230090072 = 2332139746591
BaseRepresentation
bin1111110000100010…
…0000110101011000
3101220210122211200200
43330020200311120
532130400340242
61535425302200
7206553113055
oct37410406530
911823584620
104230090072
11188085930a
129a0794960
135254b29a0
142c1b2a02c
1519b57504c
hexfc220d58

4230090072 has 96 divisors (see below), whose sum is σ = 12465223680. Its totient is φ = 1288120320.

The previous prime is 4230090071. The next prime is 4230090097. The reversal of 4230090072 is 2700900324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230090071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67497 + ... + 114087.

It is an arithmetic number, because the mean of its divisors is an integer number (129846080).

Almost surely, 24230090072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230090072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232611840).

4230090072 is an abundant number, since it is smaller than the sum of its proper divisors (8235133608).

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

4230090072 is a wasteful number, since it uses less digits than its factorization.

4230090072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46713 (or 46706 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4230090072 is about 65039.1426142750. The cubic root of 4230090072 is about 1617.2725115342.

Adding to 4230090072 its reverse (2700900324), we get a palindrome (6930990396).

The spelling of 4230090072 in words is "four billion, two hundred thirty million, ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 468 582 776 873 936 1164 1261 1746 2328 2522 3492 3783 5044 6984 7566 10088 11349 15132 22698 30264 45396 46591 90792 93182 139773 186364 279546 372728 419319 559092 605683 838638 1118184 1211366 1677276 1817049 2422732 3354552 3634098 4519327 4845464 5451147 7268196 9038654 10902294 13557981 14536392 18077308 21804588 27115962 36154616 40673943 43609176 54231924 58751251 81347886 108463848 117502502 162695772 176253753 235005004 325391544 352507506 470010008 528761259 705015012 1057522518 1410030024 2115045036 4230090072