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5864880 = 243573491
BaseRepresentation
bin10110010111110110110000
3102000222002210
4112113312300
53000134010
6325412120
7100564530
oct26276660
912028083
105864880
11334640a
121b6a040
1312a4658
14ac94c0
157acb20
hex597db0

5864880 has 80 divisors (see below), whose sum is σ = 20784384. Its totient is φ = 1340160.

The previous prime is 5864869. The next prime is 5864891. The reversal of 5864880 is 884685.

It is an interprime number because it is at equal distance from previous prime (5864869) and next prime (5864891).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 66 + ... + 3425.

Almost surely, 25864880 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 5864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392192).

5864880 is an abundant number, since it is smaller than the sum of its proper divisors (14919504).

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

5864880 is a wasteful number, since it uses less digits than its factorization.

5864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 5864880 is about 2421.7514323316. The cubic root of 5864880 is about 180.3376378793.

The spelling of 5864880 in words is "five million, eight hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3491 6982 10473 13964 17455 20946 24437 27928 34910 41892 48874 52365 55856 69820 73311 83784 97748 104730 122185 139640 146622 167568 195496 209460 244370 279280 293244 366555 390992 418920 488740 586488 733110 837840 977480 1172976 1466220 1954960 2932440 5864880