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2001020032 = 27112236373
BaseRepresentation
bin111011101000101…
…0010010010000000
312011110021100110001
41313101102102000
513044230120112
6530320445344
7100405250434
oct16721222200
95143240401
102001020032
11937583a70
1247a179854
1325b74372b
1414da829c4
15baa14c57
hex77452480

2001020032 has 64 divisors (see below), whose sum is σ = 4368994560. Its totient is φ = 905333760.

The previous prime is 2001020029. The next prime is 2001020041. The reversal of 2001020032 is 2300201002.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310798 + ... + 317170.

It is an arithmetic number, because the mean of its divisors is an integer number (68265540).

Almost surely, 22001020032 is an apocalyptic number.

2001020032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184497280).

2001020032 is an abundant number, since it is smaller than the sum of its proper divisors (2367974528).

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

2001020032 is a wasteful number, since it uses less digits than its factorization.

2001020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2001020032 is about 44732.7624007282. The cubic root of 2001020032 is about 1260.1352067892.

Adding to 2001020032 its reverse (2300201002), we get a palindrome (4301221034).

The spelling of 2001020032 in words is "two billion, one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 223 352 446 704 892 1408 1784 2453 3568 4906 6373 7136 9812 12746 14272 19624 25492 28544 39248 50984 70103 78496 101968 140206 156992 203936 280412 313984 407872 560824 815744 1121648 1421179 2243296 2842358 4486592 5684716 8973184 11369432 15632969 22738864 31265938 45477728 62531876 90955456 125063752 181910912 250127504 500255008 1000510016 2001020032