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5782840 = 2357191087
BaseRepresentation
bin10110000011110100111000
3101212210120021
4112003310320
52440022330
6323540224
7100103410
oct26036470
911783507
105782840
11329a808
121b2a674
1312761cb
14aa7640
1579367a
hex583d38

5782840 has 64 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1876608.

The previous prime is 5782807. The next prime is 5782853. The reversal of 5782840 is 482875.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5782796 and 5782805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4777 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 25782840 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 5782840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

5782840 is an abundant number, since it is smaller than the sum of its proper divisors (9884360).

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

5782840 is a wasteful number, since it uses less digits than its factorization.

5782840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 5782840 is about 2404.7536256340. The cubic root of 5782840 is about 179.4928109100.

The spelling of 5782840 in words is "five million, seven hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1087 1330 2174 2660 4348 5320 5435 7609 8696 10870 15218 20653 21740 30436 38045 41306 43480 60872 76090 82612 103265 144571 152180 165224 206530 289142 304360 413060 578284 722855 826120 1156568 1445710 2891420 5782840