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800705040 = 24353336271
BaseRepresentation
bin101111101110011…
…100101000010000
32001210200000211020
4233232130220100
53114440030130
6211241515440
725561611012
oct5756345020
92053600736
10800705040
11380a82603
121a41a2b80
13c9b6ba85
14784b01b2
154a465e10
hex2fb9ca10

800705040 has 40 divisors (see below), whose sum is σ = 2482186368. Its totient is φ = 213521280.

The previous prime is 800705039. The next prime is 800705057. The reversal of 800705040 is 40507008.

800705040 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 (40).

It is a super-2 number, since 2×8007050402 = 1282257122162803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 800705040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1667896 + ... + 1668375.

Almost surely, 2800705040 is an apocalyptic number.

800705040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800705040 is an abundant number, since it is smaller than the sum of its proper divisors (1681481328).

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

800705040 is a wasteful number, since it uses less digits than its factorization.

800705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336287 (or 3336281 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 800705040 is about 28296.7319667837. The cubic root of 800705040 is about 928.5903954649.

The spelling of 800705040 in words is "eight hundred million, seven hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3336271 6672542 10008813 13345084 16681355 20017626 26690168 33362710 40035252 50044065 53380336 66725420 80070504 100088130 133450840 160141008 200176260 266901680 400352520 800705040