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5838540 = 2235314373
BaseRepresentation
bin10110010001011011001100
3101222121222020
4112101123030
52443313130
6325050140
7100424661
oct26213314
911877866
105838540
113328644
121b56950
131295676
14abda68
157a4e10
hex5916cc

5838540 has 96 divisors (see below), whose sum is σ = 17504256. Its totient is φ = 1451520.

The previous prime is 5838499. The next prime is 5838551. The reversal of 5838540 is 458385.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 79944 + ... + 80016.

It is an arithmetic number, because the mean of its divisors is an integer number (182336).

Almost surely, 25838540 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 5838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752128).

5838540 is an abundant number, since it is smaller than the sum of its proper divisors (11665716).

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

5838540 is a wasteful number, since it uses less digits than its factorization.

5838540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5838540 is about 2416.3070996875. The cubic root of 5838540 is about 180.0672588156.

The spelling of 5838540 in words is "five million, eight hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 73 86 93 124 129 146 155 172 186 215 219 258 292 310 365 372 430 438 465 516 620 645 730 860 876 930 1095 1290 1333 1460 1860 2190 2263 2580 2666 3139 3999 4380 4526 5332 6278 6665 6789 7998 9052 9417 11315 12556 13330 13578 15695 15996 18834 19995 22630 26660 27156 31390 33945 37668 39990 45260 47085 62780 67890 79980 94170 97309 135780 188340 194618 291927 389236 486545 583854 973090 1167708 1459635 1946180 2919270 5838540