Search a number
-
+
5800010060 = 22513413491559
BaseRepresentation
bin1010110011011010…
…10010000101001100
3112222012202001001102
411121231102011030
543334300310220
62355310202232
7263505162215
oct53155220514
915865661042
105800010060
112506a55449
12115a4b3378
13715816220
143d043040c
1523e2d1775
hex159b5214c

5800010060 has 96 divisors (see below), whose sum is σ = 13484016000. Its totient is φ = 2081986560.

The previous prime is 5800010017. The next prime is 5800010081. The reversal of 5800010060 is 600100085.

It is a super-2 number, since 2×58000100602 = 67280233392202407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3719561 + ... + 3721119.

It is an arithmetic number, because the mean of its divisors is an integer number (140458500).

Almost surely, 25800010060 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 5800010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008000).

5800010060 is an abundant number, since it is smaller than the sum of its proper divisors (7684005940).

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

5800010060 is a wasteful number, since it uses less digits than its factorization.

5800010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5800010060 is about 76157.7971057462. The cubic root of 5800010060 is about 1796.7028179252.

The spelling of 5800010060 in words is "five billion, eight hundred million, ten thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 349 410 533 698 820 1066 1396 1559 1745 2132 2665 3118 3490 4537 5330 6236 6980 7795 9074 10660 14309 15590 18148 20267 22685 28618 31180 40534 45370 57236 63919 71545 81068 90740 101335 127838 143090 186017 202670 255676 286180 319595 372034 405340 544091 639190 744068 830947 930085 1088182 1278380 1661894 1860170 2176364 2720455 3323788 3720340 4154735 5440910 7073183 8309470 10881820 14146366 16618940 22307731 28292732 35365915 44615462 70731830 89230924 111538655 141463660 223077310 290000503 446154620 580001006 1160002012 1450002515 2900005030 5800010060