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2001312 = 25326949
BaseRepresentation
bin111101000100110100000
310202200021200
413220212200
51003020222
6110521200
723003505
oct7504640
93680250
102001312
111147685
12806200
13550c11
143a14ac
15297eac
hex1e89a0

2001312 has 36 divisors (see below), whose sum is σ = 5692050. Its totient is φ = 667008.

The previous prime is 2001281. The next prime is 2001313. The reversal of 2001312 is 2131002.

Adding to 2001312 its reverse (2131002), we get a palindrome (4132314).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1354896 + 646416 = 1164^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001294 and 2001303.

It is not an unprimeable number, because it can be changed into a prime (2001313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3187 + ... + 3762.

22001312 is an apocalyptic number.

It is an amenable number.

2001312 is an abundant number, since it is smaller than the sum of its proper divisors (3690738).

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

2001312 is a wasteful number, since it uses less digits than its factorization.

2001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2001312 is about 1414.6773483731. The cubic root of 2001312 is about 126.0196492410.

The spelling of 2001312 in words is "two million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6949 13898 20847 27796 41694 55592 62541 83388 111184 125082 166776 222368 250164 333552 500328 667104 1000656 2001312