Search a number
-
+
10728207 = 35721753
BaseRepresentation
bin101000111011…
…001100001111
3202012001100000
4220323030033
510221300312
61021535343
7160121400
oct50731417
922161300
1010728207
116068296
123714553
1322b8169
1415d39a7
15e1dadc
hexa3b30f

10728207 has 72 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 5660928.

The previous prime is 10728203. The next prime is 10728209. The reversal of 10728207 is 70282701.

It is not a de Polignac number, because 10728207 - 22 = 10728203 is a prime.

It is a super-3 number, since 3×107282073 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202393 + ... + 202445.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 210728207 is an apocalyptic number.

10728207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10728207 is a deficient number, since it is larger than the sum of its proper divisors (9438849).

10728207 is an equidigital number, since it uses as much as digits as its factorization.

10728207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10728207 is about 3275.3941747521. The cubic root of 10728207 is about 220.5510086074.

The spelling of 10728207 in words is "ten million, seven hundred twenty-eight thousand, two hundred seven".

Divisors: 1 3 7 9 17 21 27 49 51 53 63 81 119 147 153 159 189 243 357 371 441 459 477 567 833 901 1071 1113 1323 1377 1431 1701 2499 2597 2703 3213 3339 3969 4131 4293 6307 7497 7791 8109 9639 10017 11907 12879 18921 22491 23373 24327 28917 30051 44149 56763 67473 70119 72981 90153 132447 170289 202419 210357 218943 397341 510867 631071 1192023 1532601 3576069 10728207