Search a number
-
+
855760560 = 24353565669
BaseRepresentation
bin110011000000011…
…101111010110000
32012122021010210120
4303000131322300
53223033314220
6220525530240
730130562514
oct6300357260
92178233716
10855760560
113aa066636
121ba713980
131083a72c5
1481922144
15501dda40
hex3301deb0

855760560 has 40 divisors (see below), whose sum is σ = 2652858480. Its totient is φ = 228202752.

The previous prime is 855760547. The next prime is 855760561. The reversal of 855760560 is 65067558.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8557605602 = 1464652272103027200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855760561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782595 + ... + 1783074.

It is an arithmetic number, because the mean of its divisors is an integer number (66321462).

Almost surely, 2855760560 is an apocalyptic number.

855760560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

855760560 is an abundant number, since it is smaller than the sum of its proper divisors (1797097920).

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

855760560 is a wasteful number, since it uses less digits than its factorization.

855760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565685 (or 3565679 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 855760560 is about 29253.3854451070. The cubic root of 855760560 is about 949.4033409443.

The spelling of 855760560 in words is "eight hundred fifty-five million, seven hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3565669 7131338 10697007 14262676 17828345 21394014 28525352 35656690 42788028 53485035 57050704 71313380 85576056 106970070 142626760 171152112 213940140 285253520 427880280 855760560