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1420928 = 2717653
BaseRepresentation
bin101011010111010000000
32200012010222
411122322000
5330432203
650242212
715035435
oct5327200
92605128
101420928
11890623
12586368
133a99b2
1428db8c
151d1038
hex15ae80

1420928 has 32 divisors (see below), whose sum is σ = 3001860. Its totient is φ = 667648.

The previous prime is 1420921. The next prime is 1420931. The reversal of 1420928 is 8290241.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 64 = 1192^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1420897 and 1420906.

It is not an unprimeable number, because it can be changed into a prime (1420921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1850 + ... + 2502.

21420928 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 1420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500930).

1420928 is an abundant number, since it is smaller than the sum of its proper divisors (1580932).

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

1420928 is an equidigital number, since it uses as much as digits as its factorization.

1420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1420928 is about 1192.0268453353. The cubic root of 1420928 is about 112.4235661887.

The spelling of 1420928 in words is "one million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 653 1088 1306 2176 2612 5224 10448 11101 20896 22202 41792 44404 83584 88808 177616 355232 710464 1420928