Search a number
-
+
10240833460 = 225111322316057
BaseRepresentation
bin10011000100110011…
…01011011110110100
3222102200221020112011
421202121223132310
5131433123132320
64412104334004
7511530435214
oct114231533664
928380836464
1010240833460
114385757830
121b99774304
13c72870790
146d2134244
153ee0d105a
hex26266b7b4

10240833460 has 96 divisors (see below), whose sum is σ = 25380375552. Its totient is φ = 3421854720.

The previous prime is 10240833413. The next prime is 10240833511. The reversal of 10240833460 is 6433804201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629752 + ... + 645808.

It is an arithmetic number, because the mean of its divisors is an integer number (264378912).

Almost surely, 210240833460 is an apocalyptic number.

10240833460 is a gapful number since it is divisible by the number (10) 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 10240833460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690187776).

10240833460 is an abundant number, since it is smaller than the sum of its proper divisors (15139542092).

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

10240833460 is a wasteful number, since it uses less digits than its factorization.

10240833460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16313 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 10240833460 in words is "ten billion, two hundred forty million, eight hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 223 260 286 446 572 715 892 1115 1430 2230 2453 2860 2899 4460 4906 5798 9812 11596 12265 14495 16057 24530 28990 31889 32114 49060 57980 63778 64228 80285 127556 159445 160570 176627 208741 318890 321140 353254 417482 637780 706508 834964 883135 1043705 1766270 2087410 2296151 3532540 3580711 4174820 4592302 7161422 9184604 11480755 14322844 17903555 22961510 35807110 39387821 45923020 46549243 71614220 78775642 93098486 157551284 186196972 196939105 232746215 393878210 465492430 512041673 787756420 930984860 1024083346 2048166692 2560208365 5120416730 10240833460