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581004116 = 2271119101983
BaseRepresentation
bin100010101000010…
…110101101010100
31111111021001210222
4202220112231110
52142214112431
6133352533512
720253311360
oct4250265524
91444231728
10581004116
11278a63aa0
121426b1298
13934a7524
14572402a0
153601957b
hex22a16b54

581004116 has 96 divisors (see below), whose sum is σ = 1348945920. Its totient is φ = 212112000.

The previous prime is 581004079. The next prime is 581004119. The reversal of 581004116 is 611400185.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581004119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590561 + ... + 591543.

It is an arithmetic number, because the mean of its divisors is an integer number (14051520).

Almost surely, 2581004116 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 581004116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674472960).

581004116 is an abundant number, since it is smaller than the sum of its proper divisors (767941804).

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

581004116 is a wasteful number, since it uses less digits than its factorization.

581004116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 581004116 is about 24104.0269664635. The cubic root of 581004116 is about 834.4360713545.

The spelling of 581004116 in words is "five hundred eighty-one million, four thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 101 133 154 202 209 266 308 404 418 532 707 836 983 1111 1414 1463 1919 1966 2222 2828 2926 3838 3932 4444 5852 6881 7676 7777 10813 13433 13762 15554 18677 21109 21626 26866 27524 31108 37354 42218 43252 53732 74708 75691 84436 99283 130739 147763 151382 198566 205447 261478 295526 302764 397132 410894 522956 591052 694981 821788 1092113 1389962 1438129 1886377 2184226 2779924 2876258 3772754 4368452 5752516 7545508 7644791 13204639 15289582 20750147 26409278 30579164 41500294 52818556 83000588 145251029 290502058 581004116