Search a number
-
+
2000928 = 253191097
BaseRepresentation
bin111101000100000100000
310202122202110
413220200200
51003012203
6110515320
723002416
oct7504040
93678673
102000928
111147366
12805b40
135509a7
143a12b6
15297d03
hex1e8820

2000928 has 48 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 631296.

The previous prime is 2000927. The next prime is 2000939. The reversal of 2000928 is 8290002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20009282 = 8007425722368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1276 + ... + 2372.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

22000928 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 2000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2000928 is an abundant number, since it is smaller than the sum of its proper divisors (3532992).

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

2000928 is a wasteful number, since it uses less digits than its factorization.

2000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2000928 is about 1414.5416218691. The cubic root of 2000928 is about 126.0115887552.

The spelling of 2000928 in words is "two million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1097 1824 2194 3291 4388 6582 8776 13164 17552 20843 26328 35104 41686 52656 62529 83372 105312 125058 166744 250116 333488 500232 666976 1000464 2000928