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6423144 = 23371317173
BaseRepresentation
bin11000100000001001101000
3110002022220020
4120200021220
53121020034
6345400440
7105411240
oct30401150
913068806
106423144
113697892
122199120
13143b7a0
14bd2b20
1586d249
hex620268

6423144 has 128 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 1585152.

The previous prime is 6423119. The next prime is 6423149. The reversal of 6423144 is 4413246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6423149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37042 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

Almost surely, 26423144 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 6423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523520).

6423144 is an abundant number, since it is smaller than the sum of its proper divisors (14623896).

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

6423144 is a wasteful number, since it uses less digits than its factorization.

6423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 6423144 is about 2534.3922348366. The cubic root of 6423144 is about 185.8870860522.

The spelling of 6423144 in words is "six million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 173 182 204 221 238 273 312 346 357 364 408 442 476 519 546 663 692 714 728 884 952 1038 1092 1211 1326 1384 1428 1547 1768 2076 2184 2249 2422 2652 2856 2941 3094 3633 4152 4498 4641 4844 5304 5882 6188 6747 7266 8823 8996 9282 9688 11764 12376 13494 14532 15743 17646 17992 18564 20587 23528 26988 29064 31486 35292 37128 38233 41174 47229 53976 61761 62972 70584 76466 82348 94458 114699 123522 125944 152932 164696 188916 229398 247044 267631 305864 377832 458796 494088 535262 802893 917592 1070524 1605786 2141048 3211572 6423144