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2900864 = 27131173
BaseRepresentation
bin1011000100001110000000
312110101020102
423010032000
51220311424
6142101532
733441221
oct13041600
95411212
102900864
11170150a
12b7a8a8
137a74b5
14557248
153c47ae
hex2c4380

2900864 has 32 divisors (see below), whose sum is σ = 5856840. Its totient is φ = 1431040.

The previous prime is 2900857. The next prime is 2900869. The reversal of 2900864 is 4680092.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900869) 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 3 ways as a sum of consecutive naturals, for example, 16682 + ... + 16854.

22900864 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 2900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928420).

2900864 is an abundant number, since it is smaller than the sum of its proper divisors (2955976).

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

2900864 is a wasteful number, since it uses less digits than its factorization.

2900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2900864 is about 1703.1922968356. The cubic root of 2900864 is about 142.6184753917.

The spelling of 2900864 in words is "two million, nine hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 131 173 262 346 524 692 1048 1384 2096 2768 4192 5536 8384 11072 16768 22144 22663 45326 90652 181304 362608 725216 1450432 2900864