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646241040 = 24325897557
BaseRepresentation
bin100110100001001…
…101101100010000
31200001000110001100
4212201031230100
52310414203130
6144043104400
722004646444
oct4641155420
91601013040
10646241040
11301871505
12160512100
13a3b69063
1461b82824
153bb03c60
hex2684db10

646241040 has 60 divisors (see below), whose sum is σ = 2170295244. Its totient is φ = 172330752.

The previous prime is 646241039. The next prime is 646241081. The reversal of 646241040 is 40142646.

646241040 is a `hidden beast` number, since 646 + 2 + 4 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108743184 + 537497856 = 10428^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 646240995 and 646241013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448059 + ... + 449498.

Almost surely, 2646241040 is an apocalyptic number.

646241040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

646241040 is an abundant number, since it is smaller than the sum of its proper divisors (1524054204).

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

646241040 is a wasteful number, since it uses less digits than its factorization.

646241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897576 (or 897567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 646241040 is about 25421.2714080158. The cubic root of 646241040 is about 864.5660513944.

Adding to 646241040 its reverse (40142646), we get a palindrome (686383686).

The spelling of 646241040 in words is "six hundred forty-six million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 897557 1795114 2692671 3590228 4487785 5385342 7180456 8078013 8975570 10770684 13463355 14360912 16156026 17951140 21541368 26926710 32312052 35902280 40390065 43082736 53853420 64624104 71804560 80780130 107706840 129248208 161560260 215413680 323120520 646241040