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6053424 = 2431389109
BaseRepresentation
bin10111000101111000110000
3102101112201220
4113011320300
53022202144
6333425040
7102311316
oct27057060
912345656
106053424
113465033
12203b180
13133c410
14b380b6
157e8919
hex5c5e30

6053424 has 80 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 1824768.

The previous prime is 6053407. The next prime is 6053447. The reversal of 6053424 is 4243506.

6053424 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a junction number, because it is equal to n+sod(n) for n = 6053394 and 6053403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55482 + ... + 55590.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 26053424 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 6053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

6053424 is an abundant number, since it is smaller than the sum of its proper divisors (11132976).

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

6053424 is a wasteful number, since it uses less digits than its factorization.

6053424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6053424 is about 2460.3707037762. The cubic root of 6053424 is about 182.2497878407.

The spelling of 6053424 in words is "six million, fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 109 156 178 208 218 267 312 327 356 436 534 624 654 712 872 1068 1157 1308 1417 1424 1744 2136 2314 2616 2834 3471 4251 4272 4628 5232 5668 6942 8502 9256 9701 11336 13884 17004 18512 19402 22672 27768 29103 34008 38804 55536 58206 68016 77608 116412 126113 155216 232824 252226 378339 465648 504452 756678 1008904 1513356 2017808 3026712 6053424