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2001332032 = 2679194861
BaseRepresentation
bin111011101001001…
…1110011101000000
312011110212012102121
41313102132131000
513044320111112
6530331254024
7100411020160
oct16722363500
95143765377
102001332032
11937777417
1247a2aa314
1325b82274b
1414db245a0
15baa77407
hex7749e740

2001332032 has 56 divisors (see below), whose sum is σ = 4544608640. Its totient is φ = 856604160.

The previous prime is 2001332029. The next prime is 2001332041. The reversal of 2001332032 is 2302331002.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2001331997 and 2001332015.

It is a congruent number.

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, 409282 + ... + 414142.

Almost surely, 22001332032 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 2001332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272304320).

2001332032 is an abundant number, since it is smaller than the sum of its proper divisors (2543276608).

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

2001332032 is an equidigital number, since it uses as much as digits as its factorization.

2001332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2001332032 is about 44736.2496416497. The cubic root of 2001332032 is about 1260.2006970136.

Adding to 2001332032 its reverse (2302331002), we get a palindrome (4303663034).

The spelling of 2001332032 in words is "two billion, one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 919 1838 3676 4861 6433 7352 9722 12866 14704 19444 25732 29408 34027 38888 51464 58816 68054 77776 102928 136108 155552 205856 272216 311104 411712 544432 1088864 2177728 4467259 8934518 17869036 31270813 35738072 62541626 71476144 125083252 142952288 250166504 285904576 500333008 1000666016 2001332032