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6870825 = 36521329
BaseRepresentation
bin11010001101011100101001
3110221002000000
4122031130221
53224331300
6403133213
7112254363
oct32153451
913832000
106870825
113973175
122374209
1315674a0
14cabd33
1590ac00
hex68d729

6870825 has 84 divisors (see below), whose sum is σ = 14230860. Its totient is φ = 3265920.

The previous prime is 6870817. The next prime is 6870847. The reversal of 6870825 is 5280786.

6870825 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 6 ways, for example, as 700569 + 6170256 = 837^2 + 2484^2 .

It is not a de Polignac number, because 6870825 - 23 = 6870817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6870825.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 236911 + ... + 236939.

It is an arithmetic number, because the mean of its divisors is an integer number (169415).

Almost surely, 26870825 is an apocalyptic number.

6870825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6870825 is an abundant number, since it is smaller than the sum of its proper divisors (7360035).

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

6870825 is a wasteful number, since it uses less digits than its factorization.

6870825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6870825 is about 2621.2258582579. The cubic root of 6870825 is about 190.1091247555.

The spelling of 6870825 in words is "six million, eight hundred seventy thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 39 45 65 75 81 87 117 135 145 195 225 243 261 325 351 377 405 435 585 675 725 729 783 975 1053 1131 1215 1305 1755 1885 2025 2175 2349 2925 3159 3393 3645 3915 5265 5655 6075 6525 7047 8775 9425 9477 10179 11745 15795 16965 18225 19575 21141 26325 28275 30537 35235 47385 50895 58725 78975 84825 91611 105705 152685 176175 236925 254475 274833 458055 528525 763425 1374165 2290275 6870825