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2000074000 = 24531000037
BaseRepresentation
bin111011100110110…
…1011010100010000
312011101111021201211
41313031223110100
513044004332000
6530244305504
7100364230351
oct16715532420
95141437654
102000074000
11936a98221
124799a2294
1325b4a1c52
1414d8b7d28
15ba8c97ba
hex7736b510

2000074000 has 40 divisors (see below), whose sum is σ = 4836183768. Its totient is φ = 800028800.

The previous prime is 2000073989. The next prime is 2000074003. The reversal of 2000074000 is 4700002.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 1995944976 = 2032^2 + 44676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

2000074000 is a modest number, since divided by 74000 gives 2000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000074003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498019 + ... + 502018.

Almost surely, 22000074000 is an apocalyptic number.

2000074000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000074000 is an abundant number, since it is smaller than the sum of its proper divisors (2836109768).

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

2000074000 is a wasteful number, since it uses less digits than its factorization.

2000074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000060 (or 1000044 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2000074000 is about 44722.1868874947. The cubic root of 2000074000 is about 1259.9365887295.

Adding to 2000074000 its reverse (4700002), we get a palindrome (2004774002).

The spelling of 2000074000 in words is "two billion, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1000037 2000074 4000148 5000185 8000296 10000370 16000592 20000740 25000925 40001480 50001850 80002960 100003700 125004625 200007400 250009250 400014800 500018500 1000037000 2000074000