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5804960 = 25577173
BaseRepresentation
bin10110001001001110100000
3101220220220112
4112021032200
52441224320
6324230452
7100225040
oct26111640
911826815
105804960
113305397
121b3b428
1312832b5
14ab1720
15799ec5
hex5893a0

5804960 has 96 divisors (see below), whose sum is σ = 16111872. Its totient is φ = 1935360.

The previous prime is 5804941. The next prime is 5804971. The reversal of 5804960 is 694085.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79484 + ... + 79556.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

Almost surely, 25804960 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 5804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055936).

5804960 is an abundant number, since it is smaller than the sum of its proper divisors (10306912).

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

5804960 is a wasteful number, since it uses less digits than its factorization.

5804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5804960 is about 2409.3484596463. The cubic root of 5804960 is about 179.7213796482.

The spelling of 5804960 in words is "five million, eight hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 73 80 112 140 142 146 160 224 280 284 292 355 365 497 511 560 568 584 710 730 994 1022 1120 1136 1168 1420 1460 1988 2044 2272 2336 2485 2555 2840 2920 3976 4088 4970 5110 5183 5680 5840 7952 8176 9940 10220 10366 11360 11680 15904 16352 19880 20440 20732 25915 36281 39760 40880 41464 51830 72562 79520 81760 82928 103660 145124 165856 181405 207320 290248 362810 414640 580496 725620 829280 1160992 1451240 2902480 5804960