Search a number
-
+
2260105560 = 2332538916139
BaseRepresentation
bin1000011010110110…
…0111100101011000
312211111210020222100
42012231213211120
514112041334220
61012133523400
7110002403016
oct20655474530
95744706870
102260105560
11a5a852839
12530aa3560
132a031768b
141762458b6
15d3640d90
hex86b67958

2260105560 has 96 divisors (see below), whose sum is σ = 7364682000. Its totient is φ = 601108224.

The previous prime is 2260105559. The next prime is 2260105697. The reversal of 2260105560 is 655010622.

2260105560 is a `hidden beast` number, since 2 + 2 + 601 + 0 + 5 + 56 + 0 = 666.

2260105560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131971 + ... + 148109.

Almost surely, 22260105560 is an apocalyptic number.

2260105560 is a gapful number since it is divisible by the number (20) 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 2260105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682341000).

2260105560 is an abundant number, since it is smaller than the sum of its proper divisors (5104576440).

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

2260105560 is a wasteful number, since it uses less digits than its factorization.

2260105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16545 (or 16538 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2260105560 is about 47540.5675186992. The cubic root of 2260105560 is about 1312.3295495658.

The spelling of 2260105560 in words is "two billion, two hundred sixty million, one hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 16139 17505 23340 28008 32278 35010 46680 48417 64556 70020 80695 96834 129112 140040 145251 161390 193668 242085 290502 322780 387336 484170 581004 645560 726255 968340 1162008 1452510 1936680 2905020 5810040 6278071 12556142 18834213 25112284 31390355 37668426 50224568 56502639 62780710 75336852 94171065 113005278 125561420 150673704 188342130 226010556 251122840 282513195 376684260 452021112 565026390 753368520 1130052780 2260105560