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5804400 = 243527691
BaseRepresentation
bin10110001001000101110000
3101220220010210
4112021011300
52441220100
6324224120
7100223310
oct26110560
911826123
105804400
113304a28
121b3b040
131282c74
14ab1440
15799c50
hex589170

5804400 has 120 divisors (see below), whose sum is σ = 21280384. Its totient is φ = 1324800.

The previous prime is 5804377. The next prime is 5804413. The reversal of 5804400 is 44085.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8055 + ... + 8745.

Almost surely, 25804400 is an apocalyptic number.

5804400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10640192).

5804400 is an abundant number, since it is smaller than the sum of its proper divisors (15475984).

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

5804400 is a wasteful number, since it uses less digits than its factorization.

5804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5804400 is about 2409.2322428525. The cubic root of 5804400 is about 179.7156002682.

Adding to 5804400 its reverse (44085), we get a palindrome (5848485).

The spelling of 5804400 in words is "five million, eight hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 691 700 840 1050 1200 1382 1400 1680 2073 2100 2764 2800 3455 4146 4200 4837 5528 6910 8292 8400 9674 10365 11056 13820 14511 16584 17275 19348 20730 24185 27640 29022 33168 34550 38696 41460 48370 51825 55280 58044 69100 72555 77392 82920 96740 103650 116088 120925 138200 145110 165840 193480 207300 232176 241850 276400 290220 362775 386960 414600 483700 580440 725550 829200 967400 1160880 1451100 1934800 2902200 5804400