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5760205 = 51129521
BaseRepresentation
bin10101111110010011001101
3101211122111221
4111332103031
52433311310
6323243341
766650413
oct25762315
911748457
105760205
113284800
121b19551
131268b09
14a9d2b3
1578bada
hex57e4cd

5760205 has 12 divisors (see below), whose sum is σ = 7598556. Its totient is φ = 4188800.

The previous prime is 5760193. The next prime is 5760217. The reversal of 5760205 is 5020675.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5760193) and next prime (5760217).

It can be written as a sum of positive squares in 2 ways, for example, as 2304324 + 3455881 = 1518^2 + 1859^2 .

It is not a de Polignac number, because 5760205 - 29 = 5759693 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5760205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 5365.

It is an arithmetic number, because the mean of its divisors is an integer number (633213).

Almost surely, 25760205 is an apocalyptic number.

5760205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5760205 is a deficient number, since it is larger than the sum of its proper divisors (1838351).

5760205 is a wasteful number, since it uses less digits than its factorization.

5760205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5760205 is about 2400.0427079533. The cubic root of 5760205 is about 179.2583164296.

The spelling of 5760205 in words is "five million, seven hundred sixty thousand, two hundred five".

Divisors: 1 5 11 55 121 605 9521 47605 104731 523655 1152041 5760205