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855055040 = 2657894289
BaseRepresentation
bin110010111101110…
…001101011000000
32012120221022000012
4302331301223000
53222343230130
6220502444052
730121563560
oct6275615300
92176838005
10855055040
113a9724564
121ba433628
131081bb138
14817bada0
15500ee995
hex32f71ac0

855055040 has 112 divisors (see below), whose sum is σ = 2353665600. Its totient is φ = 289800192.

The previous prime is 855055037. The next prime is 855055049. The reversal of 855055040 is 40550558.

855055040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8550550402 = 1462238242858803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 855054988 and 855055006.

It is not an unprimeable number, because it can be changed into a prime (855055049) 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, 197216 + ... + 201504.

Almost surely, 2855055040 is an apocalyptic number.

855055040 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 855055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176832800).

855055040 is an abundant number, since it is smaller than the sum of its proper divisors (1498610560).

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

855055040 is a wasteful number, since it uses less digits than its factorization.

855055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 855055040 is about 29241.3241834223. The cubic root of 855055040 is about 949.1423617108.

The spelling of 855055040 in words is "eight hundred fifty-five million, fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 140 160 178 224 280 320 356 445 448 560 623 712 890 1120 1246 1424 1780 2240 2492 2848 3115 3560 4289 4984 5696 6230 7120 8578 9968 12460 14240 17156 19936 21445 24920 28480 30023 34312 39872 42890 49840 60046 68624 85780 99680 120092 137248 150115 171560 199360 240184 274496 300230 343120 381721 480368 600460 686240 763442 960736 1200920 1372480 1526884 1908605 1921472 2401840 2672047 3053768 3817210 4803680 5344094 6107536 7634420 9607360 10688188 12215072 13360235 15268840 21376376 24430144 26720470 30537680 42752752 53440940 61075360 85505504 106881880 122150720 171011008 213763760 427527520 855055040