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10028473 = 713193571
BaseRepresentation
bin100110010000…
…010110111001
3200212111110221
4212100112321
510031402343
6554540041
7151145350
oct46202671
920774427
1010028473
11572a5a4
123437621
132101810
141490997
15d315ed
hex9905b9

10028473 has 16 divisors (see below), whose sum is σ = 12428416. Its totient is φ = 7879680.

The previous prime is 10028467. The next prime is 10028479. The reversal of 10028473 is 37482001.

It is an interprime number because it is at equal distance from previous prime (10028467) and next prime (10028479).

It is a cyclic number.

It is not a de Polignac number, because 10028473 - 25 = 10028441 is a prime.

It is a super-3 number, since 3×100284733 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10028479) 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, 17278 + ... + 17848.

It is an arithmetic number, because the mean of its divisors is an integer number (776776).

Almost surely, 210028473 is an apocalyptic number.

10028473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10028473 is a deficient number, since it is larger than the sum of its proper divisors (2399943).

10028473 is a wasteful number, since it uses less digits than its factorization.

10028473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10028473 is about 3166.7764366939. The cubic root of 10028473 is about 215.6477526365.

It can be divided in two parts, 10028 and 473, that added together give a palindrome (10501).

The spelling of 10028473 in words is "ten million, twenty-eight thousand, four hundred seventy-three".

Divisors: 1 7 13 91 193 571 1351 2509 3997 7423 17563 51961 110203 771421 1432639 10028473