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6423424 = 27767107
BaseRepresentation
bin11000100000001110000000
3110002100021121
4120200032000
53121022144
6345402024
7105412120
oct30401600
913070247
106423424
113698017
122199314
13143b957
14bd2c80
1586d384
hex620380

6423424 has 64 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 2686464.

The previous prime is 6423407. The next prime is 6423427. The reversal of 6423424 is 4243246.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59979 + ... + 60085.

It is an arithmetic number, because the mean of its divisors is an integer number (234090).

Almost surely, 26423424 is an apocalyptic number.

6423424 is a gapful number since it is divisible by the number (64) 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 6423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490880).

6423424 is an abundant number, since it is smaller than the sum of its proper divisors (8558336).

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

6423424 is a wasteful number, since it uses less digits than its factorization.

6423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 6423424 is about 2534.4474743028. The cubic root of 6423424 is about 185.8897870985.

The spelling of 6423424 in words is "six million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 107 112 128 134 214 224 268 428 448 469 536 749 856 896 938 1072 1498 1712 1876 2144 2996 3424 3752 4288 5992 6848 7169 7504 8576 11984 13696 14338 15008 23968 28676 30016 47936 50183 57352 60032 95872 100366 114704 200732 229408 401464 458816 802928 917632 1605856 3211712 6423424