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5804640 = 2532529139
BaseRepresentation
bin10110001001001001100000
3101220220110200
4112021021200
52441222030
6324225200
7100224102
oct26111140
911826420
105804640
113305126
121b3b200
1312830ca
14ab1572
15799d60
hex589260

5804640 has 144 divisors (see below), whose sum is σ = 20638800. Its totient is φ = 1483776.

The previous prime is 5804639. The next prime is 5804651. The reversal of 5804640 is 464085.

5804640 is a `hidden beast` number, since 580 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 41691 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 25804640 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 5804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319400).

5804640 is an abundant number, since it is smaller than the sum of its proper divisors (14834160).

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

5804640 is a wasteful number, since it uses less digits than its factorization.

5804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5804640 is about 2409.2820507363. The cubic root of 5804640 is about 179.7180771909.

The spelling of 5804640 in words is "five million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 139 144 145 160 174 180 232 240 261 278 288 290 348 360 417 435 464 480 522 556 580 695 696 720 834 870 928 1044 1112 1160 1251 1305 1390 1392 1440 1668 1740 2085 2088 2224 2320 2502 2610 2780 2784 3336 3480 4031 4170 4176 4448 4640 5004 5220 5560 6255 6672 6960 8062 8340 8352 10008 10440 11120 12093 12510 13344 13920 16124 16680 20016 20155 20880 22240 24186 25020 32248 33360 36279 40032 40310 41760 48372 50040 60465 64496 66720 72558 80620 96744 100080 120930 128992 145116 161240 181395 193488 200160 241860 290232 322480 362790 386976 483720 580464 644960 725580 967440 1160928 1451160 1934880 2902320 5804640