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2000032 = 2562501
BaseRepresentation
bin111101000010010100000
310202121112021
413220102200
51003000112
6110511224
722666666
oct7502240
93677467
102000032
111146721
12805514
13550468
143a0c36
15297907
hex1e84a0

2000032 has 12 divisors (see below), whose sum is σ = 3937626. Its totient is φ = 1000000.

The previous prime is 2000029. The next prime is 2000039. The reversal of 2000032 is 2300002.

It can be written as a sum of positive squares in only one way, i.e., 1008016 + 992016 = 1004^2 + 996^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1999979 and 2000024.

It is not an unprimeable number, because it can be changed into a prime (2000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31219 + ... + 31282.

22000032 is an apocalyptic number.

It is an amenable number.

2000032 is a deficient number, since it is larger than the sum of its proper divisors (1937594).

2000032 is an equidigital number, since it uses as much as digits as its factorization.

2000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62511 (or 62503 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2000032 is about 1414.2248760363. The cubic root of 2000032 is about 125.9927769438.

Adding to 2000032 its reverse (2300002), we get a palindrome (4300034).

It can be divided in two parts, 20000 and 32, that multiplied together give a square (640000 = 8002).

The spelling of 2000032 in words is "two million, thirty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 8 16 32 62501 125002 250004 500008 1000016 2000032