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5801304 = 2333747139
BaseRepresentation
bin10110001000010101011000
3101220201220010
4112020111120
52441120204
6324201520
7100211265
oct26102530
911821803
105801304
113302673
121b392a0
131281732
14ab026c
15798d89
hex588558

5801304 has 64 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1828224.

The previous prime is 5801303. The next prime is 5801311. The reversal of 5801304 is 4031085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41667 + ... + 41805.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 25801304 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 5801304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

5801304 is an abundant number, since it is smaller than the sum of its proper divisors (9520296).

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

5801304 is a wasteful number, since it uses less digits than its factorization.

5801304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5801304 is about 2408.5896288077. The cubic root of 5801304 is about 179.6836418428.

Adding to 5801304 its reverse (4031085), we get a palindrome (9832389).

It can be divided in two parts, 5801 and 304, that added together give a triangular number (6105 = T110).

The spelling of 5801304 in words is "five million, eight hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 139 141 148 188 222 278 282 296 376 417 444 556 564 834 888 1112 1128 1668 1739 3336 3478 5143 5217 6533 6956 10286 10434 13066 13912 15429 19599 20572 20868 26132 30858 39198 41144 41736 52264 61716 78396 123432 156792 241721 483442 725163 966884 1450326 1933768 2900652 5801304