Search a number
-
+
5839840 = 2551719113
BaseRepresentation
bin10110010001101111100000
3101222200202101
4112101233200
52443333330
6325100144
7100431526
oct26215740
911880671
105839840
113329616
121b57654
131296136
14ac0316
157a54ca
hex591be0

5839840 has 96 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 2064384.

The previous prime is 5839837. The next prime is 5839843. The reversal of 5839840 is 489385.

It is an interprime number because it is at equal distance from previous prime (5839837) and next prime (5839843).

It is a self number, because there is not a number n which added to its sum of digits gives 5839840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5839843) by changing a digit.

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, 51624 + ... + 51736.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 25839840 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 5839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5839840 is an abundant number, since it is smaller than the sum of its proper divisors (9673280).

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

5839840 is a wasteful number, since it uses less digits than its factorization.

5839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 5839840 is about 2416.5760902566. The cubic root of 5839840 is about 180.0806223199.

The spelling of 5839840 in words is "five million, eight hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 113 136 152 160 170 190 226 272 304 323 340 380 452 544 565 608 646 680 760 904 1130 1292 1360 1520 1615 1808 1921 2147 2260 2584 2720 3040 3230 3616 3842 4294 4520 5168 6460 7684 8588 9040 9605 10336 10735 12920 15368 17176 18080 19210 21470 25840 30736 34352 36499 38420 42940 51680 61472 68704 72998 76840 85880 145996 153680 171760 182495 291992 307360 343520 364990 583984 729980 1167968 1459960 2919920 5839840