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5881640 = 2351971109
BaseRepresentation
bin10110011011111100101000
3102001211002112
4112123330220
53001203030
6330021452
7100664432
oct26337450
912054075
105881640
113357a66
121b77888
1312ac17b
14ad1652
157b2a95
hex59bf28

5881640 has 64 divisors (see below), whose sum is σ = 14256000. Its totient is φ = 2177280.

The previous prime is 5881639. The next prime is 5881649. The reversal of 5881640 is 461885.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5881597 and 5881606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5881649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53906 + ... + 54014.

It is an arithmetic number, because the mean of its divisors is an integer number (222750).

Almost surely, 25881640 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 5881640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128000).

5881640 is an abundant number, since it is smaller than the sum of its proper divisors (8374360).

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

5881640 is a wasteful number, since it uses less digits than its factorization.

5881640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5881640 is about 2425.2092693209. The cubic root of 5881640 is about 180.5092574345.

The spelling of 5881640 in words is "five million, eight hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 109 142 152 190 218 284 355 380 436 545 568 710 760 872 1090 1349 1420 2071 2180 2698 2840 4142 4360 5396 6745 7739 8284 10355 10792 13490 15478 16568 20710 26980 30956 38695 41420 53960 61912 77390 82840 147041 154780 294082 309560 588164 735205 1176328 1470410 2940820 5881640