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10028420 = 2253891289
BaseRepresentation
bin100110010000…
…010110000100
3200212111101222
4212100112010
510031402140
6554535512
7151145243
oct46202604
920774358
1010028420
11572a556
123437598
13210179c
14149095a
15d315b5
hex990584

10028420 has 24 divisors (see below), whose sum is σ = 21130200. Its totient is φ = 3997952.

The previous prime is 10028399. The next prime is 10028429. The reversal of 10028420 is 2482001.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 8844676 = 1088^2 + 2974^2 .

It is not an unprimeable number, because it can be changed into a prime (10028429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7136 + ... + 8424.

It is an arithmetic number, because the mean of its divisors is an integer number (880425).

Almost surely, 210028420 is an apocalyptic number.

10028420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10028420 is an abundant number, since it is smaller than the sum of its proper divisors (11101780).

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

10028420 is a wasteful number, since it uses less digits than its factorization.

10028420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10028420 is about 3166.7680685519. The cubic root of 10028420 is about 215.6473727398.

The spelling of 10028420 in words is "ten million, twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 389 778 1289 1556 1945 2578 3890 5156 6445 7780 12890 25780 501421 1002842 2005684 2507105 5014210 10028420