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10397205 = 3257132539
BaseRepresentation
bin100111101010…
…011000010101
3201120020021200
4213222120111
510130202310
61010503113
7154242360
oct47523025
921506250
1010397205
115961635
123594a99
1322005c0
1415490d7
15da59c0
hex9ea615

10397205 has 48 divisors (see below), whose sum is σ = 22189440. Its totient is φ = 4385664.

The previous prime is 10397201. The next prime is 10397209. The reversal of 10397205 is 50279301.

10397205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10397201) and next prime (10397209).

It is not a de Polignac number, because 10397205 - 22 = 10397201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10397201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 210397205 is an apocalyptic number.

10397205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10397205 is an abundant number, since it is smaller than the sum of its proper divisors (11792235).

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

10397205 is a wasteful number, since it uses less digits than its factorization.

10397205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10397205 is about 3224.4697238461. The cubic root of 10397205 is about 218.2590207377.

The spelling of 10397205 in words is "ten million, three hundred ninety-seven thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 2539 4095 7617 12695 17773 22851 33007 38085 53319 88865 99021 114255 159957 165035 231049 266595 297063 495105 693147 799785 1155245 1485315 2079441 3465735 10397205