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2001072 = 24347887
BaseRepresentation
bin111101000100010110000
310202122221210
413220202300
51003013242
6110520120
723003013
oct7504260
93678853
102001072
111147487
12806040
13550a88
143a137a
15297d9c
hex1e88b0

2001072 has 40 divisors (see below), whose sum is σ = 5285376. Its totient is φ = 652096.

The previous prime is 2001067. The next prime is 2001073. The reversal of 2001072 is 2701002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2001073) 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, 1813 + ... + 2699.

22001072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642688).

2001072 is an abundant number, since it is smaller than the sum of its proper divisors (3284304).

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

2001072 is a wasteful number, since it uses less digits than its factorization.

2001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2001072 is about 1414.5925208342. The cubic root of 2001072 is about 126.0146115582.

Adding to 2001072 its reverse (2701002), we get a palindrome (4702074).

The spelling of 2001072 in words is "two million, one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 887 1128 1774 2256 2661 3548 5322 7096 10644 14192 21288 41689 42576 83378 125067 166756 250134 333512 500268 667024 1000536 2001072