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1412928 = 263211223
BaseRepresentation
bin101011000111101000000
32122210011200
411120331000
5330203203
650141200
715003216
oct5307500
92583150
101412928
11885610
12581800
133a616a
1428acb6
151cd9a3
hex158f40

1412928 has 84 divisors (see below), whose sum is σ = 4437888. Its totient is φ = 426240.

The previous prime is 1412911. The next prime is 1412933. The reversal of 1412928 is 8292141.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6225 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (52832).

21412928 is an apocalyptic number.

1412928 is a gapful number since it is divisible by the number (18) 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 1412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944).

1412928 is an abundant number, since it is smaller than the sum of its proper divisors (3024960).

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

1412928 is a wasteful number, since it uses less digits than its factorization.

1412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1412928 is about 1188.6664797158. Note that the first 3 decimals coincide. The cubic root of 1412928 is about 112.2121828021.

The spelling of 1412928 in words is "one million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 223 264 288 352 396 446 528 576 669 704 792 892 1056 1338 1584 1784 2007 2112 2453 2676 3168 3568 4014 4906 5352 6336 7136 7359 8028 9812 10704 14272 14718 16056 19624 21408 22077 29436 32112 39248 42816 44154 58872 64224 78496 88308 117744 128448 156992 176616 235488 353232 470976 706464 1412928