Search a number
-
+
856164260 = 225724312027
BaseRepresentation
bin110011000010000…
…000011110100100
32012200000122120102
4303002000132210
53223134224020
6220542323232
730134163500
oct6302003644
92180018512
10856164260
113aa311976
121ba889518
131084b8c93
14819c9300
155026d475
hex330807a4

856164260 has 72 divisors (see below), whose sum is σ = 2097373824. Its totient is φ = 292716480.

The previous prime is 856164229. The next prime is 856164299. The reversal of 856164260 is 62461658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421367 + ... + 423393.

It is an arithmetic number, because the mean of its divisors is an integer number (29130192).

Almost surely, 2856164260 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 856164260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

856164260 is an abundant number, since it is smaller than the sum of its proper divisors (1241209564).

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

856164260 is a wasteful number, since it uses less digits than its factorization.

856164260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 856164260 is about 29260.2846876103. The cubic root of 856164260 is about 949.5526092846.

The spelling of 856164260 in words is "eight hundred fifty-six million, one hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 431 490 862 980 1724 2027 2155 3017 4054 4310 6034 8108 8620 10135 12068 14189 15085 20270 21119 28378 30170 40540 42238 56756 60340 70945 84476 99323 105595 141890 198646 211190 283780 397292 422380 496615 873637 993230 1747274 1986460 3494548 4368185 6115459 8736370 12230918 17472740 24461836 30577295 42808213 61154590 85616426 122309180 171232852 214041065 428082130 856164260