Search a number
-
+
5601014560 = 255195334763
BaseRepresentation
bin1010011011101100…
…01011001100100000
3112110100022000112201
411031312023030200
542432324431220
62323441102544
7255540560341
oct51566131440
915410260481
105601014560
112414699159
121103927a54
136b35211cb
143b1c300c8
1522bac4d0a
hex14dd8b320

5601014560 has 96 divisors (see below), whose sum is σ = 14192055360. Its totient is φ = 2082382848.

The previous prime is 5601014543. The next prime is 5601014563. The reversal of 5601014560 is 654101065.

It is not an unprimeable number, because it can be changed into a prime (5601014563) 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, 143739 + ... + 178501.

It is an arithmetic number, because the mean of its divisors is an integer number (147833910).

Almost surely, 25601014560 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 5601014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096027680).

5601014560 is an abundant number, since it is smaller than the sum of its proper divisors (8591040800).

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

5601014560 is a wasteful number, since it uses less digits than its factorization.

5601014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34850 (or 34842 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5601014560 is about 74839.9262426146. The cubic root of 5601014560 is about 1775.9152389004.

The spelling of 5601014560 in words is "five billion, six hundred one million, fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 76 80 95 106 152 160 190 212 265 304 380 424 530 608 760 848 1007 1060 1520 1696 2014 2120 3040 4028 4240 5035 8056 8480 10070 16112 20140 32224 34763 40280 69526 80560 139052 161120 173815 278104 347630 556208 660497 695260 1112416 1320994 1390520 1842439 2641988 2781040 3302485 3684878 5283976 5562080 6604970 7369756 9212195 10567952 13209940 14739512 18424390 21135904 26419880 29479024 35006341 36848780 52839760 58958048 70012682 73697560 105679520 140025364 147395120 175031705 280050728 294790240 350063410 560101456 700126820 1120202912 1400253640 2800507280 5601014560