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1428024 = 2331323199
BaseRepresentation
bin101011100101000111000
32200112212210
411130220320
5331144044
650335120
715065223
oct5345070
92615783
101428024
11895994
1258a4a0
133accb0
142925ba
151d31b9
hex15ca38

1428024 has 64 divisors (see below), whose sum is σ = 4032000. Its totient is φ = 418176.

The previous prime is 1428013. The next prime is 1428029. The reversal of 1428024 is 4208241.

It is a Cunningham number, because it is equal to 11952-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7077 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

21428024 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 1428024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016000).

1428024 is an abundant number, since it is smaller than the sum of its proper divisors (2603976).

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

1428024 is a wasteful number, since it uses less digits than its factorization.

1428024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1428024 is about 1194.9995815899. Note that the first 3 decimals coincide. The cubic root of 1428024 is about 112.6104002668.

The spelling of 1428024 in words is "one million, four hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 199 276 299 312 398 552 597 598 796 897 1194 1196 1592 1794 2388 2392 2587 3588 4577 4776 5174 7176 7761 9154 10348 13731 15522 18308 20696 27462 31044 36616 54924 59501 62088 109848 119002 178503 238004 357006 476008 714012 1428024