Search a number
-
+
2390700096 = 263651241
BaseRepresentation
bin1000111001111111…
…0011000001000000
320011121112011000000
42032133303001000
514344004400341
61033121000000
7113146421061
oct21637630100
96147464000
102390700096
111017540404
12568783000
132c13b0955
1418971c568
15ded3a8b6
hex8e7f3040

2390700096 has 98 divisors (see below), whose sum is σ = 7112953262. Its totient is φ = 796884480.

The previous prime is 2390700077. The next prime is 2390700107. The reversal of 2390700096 is 6900070932.

It can be written as a sum of positive squares in only one way, i.e., 1960718400 + 429981696 = 44280^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2390700096.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21036 + ... + 72276.

Almost surely, 22390700096 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 2390700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556476631).

2390700096 is an abundant number, since it is smaller than the sum of its proper divisors (4722253166).

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

2390700096 is an frugal number, since it uses more digits than its factorization.

2390700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51271 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2390700096 is about 48894.7859796932. The cubic root of 2390700096 is about 1337.1343110189.

The spelling of 2390700096 in words is "two billion, three hundred ninety million, seven hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 51241 102482 153723 204964 307446 409928 461169 614892 819856 922338 1229784 1383507 1639712 1844676 2459568 2767014 3279424 3689352 4150521 4919136 5534028 7378704 8301042 9838272 11068056 12451563 14757408 16602084 22136112 24903126 29514816 33204168 37354689 44272224 49806252 66408336 74709378 88544448 99612504 132816672 149418756 199225008 265633344 298837512 398450016 597675024 796900032 1195350048 2390700096