Search a number
-
+
6002664220 = 2257473372707
BaseRepresentation
bin1011001011100100…
…10110001100011100
3120111100001221022001
411211302112030130
544243140223340
62431345532044
7301515542530
oct54562261434
916440057261
106002664220
112600390523
1211b6344024
137487bc627
1440d303bc0
15251eb229a
hex165c9631c

6002664220 has 96 divisors (see below), whose sum is σ = 14762022912. Its totient is φ = 2007548928.

The previous prime is 6002664197. The next prime is 6002664229. The reversal of 6002664220 is 224662006.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002664229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216107 + ... + 2218813.

It is an arithmetic number, because the mean of its divisors is an integer number (153771072).

Almost surely, 26002664220 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 6002664220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381011456).

6002664220 is an abundant number, since it is smaller than the sum of its proper divisors (8759358692).

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

6002664220 is a wasteful number, since it uses less digits than its factorization.

6002664220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 6002664220 is about 77476.8624816467. The cubic root of 6002664220 is about 1817.3895090902.

The spelling of 6002664220 in words is "six billion, two million, six hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 337 470 658 674 940 1316 1348 1645 1685 2359 2707 3290 3370 4718 5414 6580 6740 9436 10828 11795 13535 15839 18949 23590 27070 31678 37898 47180 54140 63356 75796 79195 94745 110873 127229 158390 189490 221746 254458 316780 378980 443492 508916 554365 636145 890603 912259 1108730 1272290 1781206 1824518 2217460 2544580 3562412 3649036 4453015 4561295 6385813 8906030 9122590 12771626 17812060 18245180 25543252 31929065 42876173 63858130 85752346 127716260 171504692 214380865 300133211 428761730 600266422 857523460 1200532844 1500666055 3001332110 6002664220