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805170240 = 26335713313
BaseRepresentation
bin101111111111011…
…110110001000000
32002010001212221000
4233333132301000
53122110421430
6211521332000
725644556050
oct5777366100
92063055830
10805170240
11383552356
121a5797000
13caa732c4
1478d13560
154aa48e60
hex2ffdec40

805170240 has 224 divisors, whose sum is σ = 3246485760. Its totient is φ = 184025088.

The previous prime is 805170211. The next prime is 805170251. The reversal of 805170240 is 42071508.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53824 + ... + 67136.

It is an arithmetic number, because the mean of its divisors is an integer number (14493240).

Almost surely, 2805170240 is an apocalyptic number.

805170240 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 805170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623242880).

805170240 is an abundant number, since it is smaller than the sum of its proper divisors (2441315520).

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

805170240 is a wasteful number, since it uses less digits than its factorization.

805170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 805170240 is about 28375.5218454216. The cubic root of 805170240 is about 930.3133179482.

The spelling of 805170240 in words is "eight hundred five million, one hundred seventy thousand, two hundred forty".