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5790064 = 247173041
BaseRepresentation
bin10110000101100101110000
3101220011110211
4112011211300
52440240224
6324033504
7100133440
oct26054560
911804424
105790064
1132a5185
121b32894
131279597
14aaa120
15795894
hex585970

5790064 has 40 divisors (see below), whose sum is σ = 13579488. Its totient is φ = 2334720.

The previous prime is 5790023. The next prime is 5790067. The reversal of 5790064 is 4600975.

It is a super-2 number, since 2×57900642 = 67049682248192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 3424.

Almost surely, 25790064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789744).

5790064 is an abundant number, since it is smaller than the sum of its proper divisors (7789424).

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

5790064 is a wasteful number, since it uses less digits than its factorization.

5790064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5790064 is about 2406.2551818126. The cubic root of 5790064 is about 179.5675214045.

The spelling of 5790064 in words is "five million, seven hundred ninety thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 3041 6082 12164 21287 24328 42574 48656 51697 85148 103394 170296 206788 340592 361879 413576 723758 827152 1447516 2895032 5790064