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10428572 = 227311691
BaseRepresentation
bin100111110010…
…000010011100
3201121211022102
4213302002130
510132203242
61011304232
7154433000
oct47620234
921554272
1010428572
115983160
1235ab078
13221196b
141556700
15daee32
hex9f209c

10428572 has 48 divisors (see below), whose sum is σ = 23251200. Its totient is φ = 4057200.

The previous prime is 10428571. The next prime is 10428581. The reversal of 10428572 is 27582401.

It is a super-2 number, since 2×104285722 = 217510227918368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428571) by changing a digit.

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, 14747 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (484400).

Almost surely, 210428572 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 10428572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625600).

10428572 is an abundant number, since it is smaller than the sum of its proper divisors (12822628).

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

10428572 is a wasteful number, since it uses less digits than its factorization.

10428572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 10428572 is about 3229.3299614626. The cubic root of 10428572 is about 218.4782866396.

The spelling of 10428572 in words is "ten million, four hundred twenty-eight thousand, five hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 691 1078 1372 1382 2156 2764 3773 4837 7546 7601 9674 15092 15202 19348 30404 33859 53207 67718 106414 135436 212828 237013 372449 474026 744898 948052 1489796 2607143 5214286 10428572