Search a number
-
+
5761890 = 232573877
BaseRepresentation
bin10101111110101101100010
3101211201211100
4111332231202
52433340030
6323255230
766655341
oct25765542
911751740
105761890
113285aa2
121b1a516
131269804
14a9db58
1578c360
hex57eb62

5761890 has 48 divisors (see below), whose sum is σ = 15203448. Its totient is φ = 1513728.

The previous prime is 5761879. The next prime is 5761901. The reversal of 5761890 is 981675.

5761890 is a `hidden beast` number, since 576 + 1 + 89 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5761879) and next prime (5761901).

It can be written as a sum of positive squares in 4 ways, for example, as 5433561 + 328329 = 2331^2 + 573^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6132 + ... + 7008.

Almost surely, 25761890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5761890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601724).

5761890 is an abundant number, since it is smaller than the sum of its proper divisors (9441558).

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

5761890 is a wasteful number, since it uses less digits than its factorization.

5761890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5761890 is about 2400.3937177055. The cubic root of 5761890 is about 179.2757938640.

The spelling of 5761890 in words is "five million, seven hundred sixty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 877 1095 1314 1754 2190 2631 3285 4385 5262 6570 7893 8770 13155 15786 26310 39465 64021 78930 128042 192063 320105 384126 576189 640210 960315 1152378 1920630 2880945 5761890