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5801004 = 22331119257
BaseRepresentation
bin10110001000010000101100
3101220201111000
4112020100230
52441113004
6324200300
7100210356
oct26102054
911821430
105801004
113302420
121b39090
131281561
14ab00d6
15798c39
hex58842c

5801004 has 96 divisors (see below), whose sum is σ = 17337600. Its totient is φ = 1658880.

The previous prime is 5800997. The next prime is 5801011. The reversal of 5801004 is 4001085.

It is an interprime number because it is at equal distance from previous prime (5800997) and next prime (5801011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22444 + ... + 22700.

It is an arithmetic number, because the mean of its divisors is an integer number (180600).

Almost surely, 25801004 is an apocalyptic number.

5801004 is a gapful number since it is divisible by the number (54) 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 5801004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668800).

5801004 is an abundant number, since it is smaller than the sum of its proper divisors (11536596).

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

5801004 is a wasteful number, since it uses less digits than its factorization.

5801004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5801004 is about 2408.5273508931. The cubic root of 5801004 is about 179.6805444919.

Adding to 5801004 its reverse (4001085), we get a palindrome (9802089).

The spelling of 5801004 in words is "five million, eight hundred one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 257 297 342 396 418 513 514 594 627 684 771 836 1026 1028 1188 1254 1542 1881 2052 2313 2508 2827 3084 3762 4626 4883 5643 5654 6939 7524 8481 9252 9766 11286 11308 13878 14649 16962 19532 22572 25443 27756 29298 33924 43947 50886 53713 58596 76329 87894 101772 107426 131841 152658 161139 175788 214852 263682 305316 322278 483417 527364 644556 966834 1450251 1933668 2900502 5801004