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2128788 = 223323857
BaseRepresentation
bin1000000111101110010100
311000011011000
420013232110
51021110123
6113343300
724044244
oct10075624
94004130
102128788
111224432
12867b30
13596c4c
143d5b24
152c0b43
hex207b94

2128788 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 677952.

The previous prime is 2128783. The next prime is 2128799. The reversal of 2128788 is 8878212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

22128788 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 2128788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2128788 is an abundant number, since it is smaller than the sum of its proper divisors (3636972).

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

2128788 is a wasteful number, since it uses less digits than its factorization.

2128788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2128788 is about 1459.0366684905. The cubic root of 2128788 is about 128.6404264577.

It can be divided in two parts, 2128 and 788, that added together give a square (2916 = 542).

The spelling of 2128788 in words is "two million, one hundred twenty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 857 1242 1714 2484 2571 3428 5142 7713 10284 15426 19711 23139 30852 39422 46278 59133 78844 92556 118266 177399 236532 354798 532197 709596 1064394 2128788