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855606560 = 25553163619
BaseRepresentation
bin110010111111111…
…000010100100000
32012121222022112212
4302333320110200
53223013402220
6220522341252
730126351524
oct6277702440
92177868485
10855606560
113a9a70966
121ba65a828
13108352193
14818c1d84
15501ad0c5
hex32ff8520

855606560 has 96 divisors (see below), whose sum is σ = 2075492160. Its totient is φ = 333186048.

The previous prime is 855606547. The next prime is 855606569. The reversal of 855606560 is 65606558.

855606560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (855606569) 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, 1381931 + ... + 1382549.

It is an arithmetic number, because the mean of its divisors is an integer number (21619710).

Almost surely, 2855606560 is an apocalyptic number.

855606560 is a gapful number since it is divisible by the number (80) 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 855606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037746080).

855606560 is an abundant number, since it is smaller than the sum of its proper divisors (1219885600).

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

855606560 is a wasteful number, since it uses less digits than its factorization.

855606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The square root of 855606560 is about 29250.7531526968. The cubic root of 855606560 is about 949.3463869735.

The spelling of 855606560 in words is "eight hundred fifty-five million, six hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 163 212 265 326 424 530 619 652 815 848 1060 1238 1304 1630 1696 2120 2476 2608 3095 3260 4240 4952 5216 6190 6520 8480 8639 9904 12380 13040 17278 19808 24760 26080 32807 34556 43195 49520 65614 69112 86390 99040 100897 131228 138224 164035 172780 201794 262456 276448 328070 345560 403588 504485 524912 656140 691120 807176 1008970 1049824 1312280 1382240 1614352 2017940 2624560 3228704 4035880 5249120 5347541 8071760 10695082 16143520 21390164 26737705 42780328 53475410 85560656 106950820 171121312 213901640 427803280 855606560