Search a number
-
+
800099916 = 2237112223353
BaseRepresentation
bin101111101100001…
…000111001001100
32001202112021202020
4233230020321030
53114311144131
6211220530140
725553510550
oct5754107114
92052467666
10800099916
113806a9a00
121a3b50950
13c99b9505
1478393860
154a396996
hex2fb08e4c

800099916 has 144 divisors (see below), whose sum is σ = 2362386432. Its totient is φ = 206300160.

The previous prime is 800099897. The next prime is 800099921. The reversal of 800099916 is 619990008.

800099916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2266396 + ... + 2266748.

Almost surely, 2800099916 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 800099916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181193216).

800099916 is an abundant number, since it is smaller than the sum of its proper divisors (1562286516).

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

800099916 is a wasteful number, since it uses less digits than its factorization.

800099916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 800099916 is about 28286.0374743441. The cubic root of 800099916 is about 928.3564125295.

The spelling of 800099916 in words is "eight hundred million, ninety-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 223 231 242 308 353 363 446 462 484 669 706 726 847 892 924 1059 1338 1412 1452 1561 1694 2118 2453 2471 2541 2676 3122 3388 3883 4236 4683 4906 4942 5082 6244 7359 7413 7766 9366 9812 9884 10164 11649 14718 14826 15532 17171 18732 23298 26983 27181 29436 29652 34342 42713 46596 51513 53966 54362 68684 78719 80949 81543 85426 103026 107932 108724 128139 157438 161898 163086 170852 188881 206052 236157 256278 298991 314876 323796 326172 377762 472314 512556 551033 566643 597982 755524 865909 896973 944628 1102066 1133286 1195964 1653099 1731818 1793946 2204132 2266572 2597727 3306198 3463636 3587892 5195454 6061363 6612396 9524999 10390908 12122726 18184089 19049998 24245452 28574997 36368178 38099996 57149994 66674993 72736356 114299988 133349986 200024979 266699972 400049958 800099916