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5760093 = 317532131
BaseRepresentation
bin10101111110010001011101
3101211122100210
4111332101131
52433310333
6323243033
766650163
oct25762135
911748323
105760093
113284709
121b19479
131268a51
14a9d233
1578ba63
hex57e45d

5760093 has 16 divisors (see below), whose sum is σ = 8289216. Its totient is φ = 3544320.

The previous prime is 5760091. The next prime is 5760101. The reversal of 5760093 is 3900675.

It is not a de Polignac number, because 5760093 - 21 = 5760091 is a prime.

It is a super-3 number, since 3×57600933 (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5760093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (518076).

Almost surely, 25760093 is an apocalyptic number.

5760093 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

5760093 is a deficient number, since it is larger than the sum of its proper divisors (2529123).

5760093 is a wasteful number, since it uses less digits than its factorization.

5760093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5760093 is about 2400.0193749218. The cubic root of 5760093 is about 179.2571546039.

The spelling of 5760093 in words is "five million, seven hundred sixty thousand, ninety-three".

Divisors: 1 3 17 51 53 159 901 2131 2703 6393 36227 108681 112943 338829 1920031 5760093