Search a number
-
+
6423690 = 2357132181
BaseRepresentation
bin11000100000010010001010
3110002100122110
4120200102022
53121024230
6345403150
7105412650
oct30402212
913070573
106423690
113698239
1221994b6
13143bb00
14bd2dd0
1586d4b0
hex62048a

6423690 has 96 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 1347840.

The previous prime is 6423673. The next prime is 6423707. The reversal of 6423690 is 963246.

It is an interprime number because it is at equal distance from previous prime (6423673) and next prime (6423707).

It is a super-2 number, since 2×64236902 = 82527586432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35400 + ... + 35580.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 26423690 is an apocalyptic number.

It is a pronic number, being equal to 2534×2535.

It is a practical number, because each smaller number is the sum of distinct divisors of 6423690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592128).

6423690 is an abundant number, since it is smaller than the sum of its proper divisors (12760566).

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

6423690 is a wasteful number, since it uses less digits than its factorization.

6423690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6423690 is about 2534.4999506806. The cubic root of 6423690 is about 185.8923530198.

The spelling of 6423690 in words is "six million, four hundred twenty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 181 182 195 210 273 338 362 390 455 507 543 546 845 905 910 1014 1086 1183 1267 1365 1690 1810 2353 2366 2534 2535 2715 2730 3549 3801 4706 5070 5430 5915 6335 7059 7098 7602 11765 11830 12670 14118 16471 17745 19005 23530 30589 32942 35295 35490 38010 49413 61178 70590 82355 91767 98826 152945 164710 183534 214123 247065 305890 428246 458835 494130 642369 917670 1070615 1284738 2141230 3211845 6423690