Search a number
-
+
5801999060 = 22511133122111
BaseRepresentation
bin1010110011101001…
…10111101011010100
3112222100111002110002
411121310313223110
543340302432220
62355420550432
7263531115104
oct53164675324
915870432402
105801999060
112508093850
12115b0b2418
13716061650
143d07cb204
1523e575c75
hex159d37ad4

5801999060 has 144 divisors (see below), whose sum is σ = 14797956096. Its totient is φ = 1883808000.

The previous prime is 5801999051. The next prime is 5801999081. The reversal of 5801999060 is 609991085.

It is a super-3 number, since 3×58019990603 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5801998996 and 5801999014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2747405 + ... + 2749515.

It is an arithmetic number, because the mean of its divisors is an integer number (102763584).

Almost surely, 25801999060 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 5801999060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398978048).

5801999060 is an abundant number, since it is smaller than the sum of its proper divisors (8995957036).

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

5801999060 is a wasteful number, since it uses less digits than its factorization.

5801999060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 47.

The square root of 5801999060 is about 76170.8543998293. The cubic root of 5801999060 is about 1796.9081758149.

The spelling of 5801999060 in words is "five billion, eight hundred one million, nine hundred ninety-nine thousand, sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 961 1364 1430 1612 1705 1922 2015 2111 2860 3410 3844 4030 4222 4433 4805 6820 8060 8444 8866 9610 10555 10571 12493 17732 19220 21110 21142 22165 23221 24986 27443 42220 42284 44330 46442 49972 52855 54886 62465 65441 88660 92884 105710 109772 116105 124930 130882 137215 137423 211420 232210 249860 261764 274430 274846 301873 327205 464420 548860 549692 603746 654410 687115 719851 850733 1207492 1308820 1374230 1439702 1509365 1701466 2028671 2748460 2879404 3018730 3402932 3599255 4057342 4253665 6037460 7198510 8114684 8507330 9358063 10143355 14397020 17014660 18716126 20286710 22315381 26372723 37432252 40573420 44630762 46790315 52745446 89261524 93580630 105490892 111576905 131863615 187161260 223153810 263727230 290099953 446307620 527454460 580199906 1160399812 1450499765 2900999530 5801999060