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2032000640 = 2753175001
BaseRepresentation
bin111100100011101…
…1101111010000000
312020121120022211222
41321013131322000
513130143010030
6533344454212
7101232502055
oct17107357200
95217508758
102032000640
1195301417a
1248861a368
13264c9cb57
14153c2902c
15bd5d43e5
hex791dde80

2032000640 has 32 divisors (see below), whose sum is σ = 4857753060. Its totient is φ = 812800000.

The previous prime is 2032000637. The next prime is 2032000643. The reversal of 2032000640 is 460002302.

It is an interprime number because it is at equal distance from previous prime (2032000637) and next prime (2032000643).

It can be written as a sum of positive squares in 2 ways, for example, as 2030764096 + 1236544 = 45064^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2032000643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1586861 + ... + 1588140.

Almost surely, 22032000640 is an apocalyptic number.

2032000640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032000640 is an abundant number, since it is smaller than the sum of its proper divisors (2825752420).

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

2032000640 is an equidigital number, since it uses as much as digits as its factorization.

2032000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175020 (or 3175008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2032000640 is about 45077.7177771901. The cubic root of 2032000640 is about 1266.6052392495.

Adding to 2032000640 its reverse (460002302), we get a palindrome (2492002942).

The spelling of 2032000640 in words is "two billion, thirty-two million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3175001 6350002 12700004 15875005 25400008 31750010 50800016 63500020 101600032 127000040 203200064 254000080 406400128 508000160 1016000320 2032000640