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2098640 = 24537709
BaseRepresentation
bin1000000000010111010000
310221121210102
420000113100
51014124030
6112551532
723560325
oct10002720
93847712
102098640
111203815
128525a8
135862cb
143c8b4c
152b6c45
hex2005d0

2098640 has 40 divisors (see below), whose sum is σ = 5018280. Its totient is φ = 815616.

The previous prime is 2098639. The next prime is 2098651. The reversal of 2098640 is 468902.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 1860496 = 488^2 + 1364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

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, 2606 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (125457).

22098640 is an apocalyptic number.

2098640 is a gapful number since it is divisible by the number (20) 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 2098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509140).

2098640 is an abundant number, since it is smaller than the sum of its proper divisors (2919640).

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

2098640 is a wasteful number, since it uses less digits than its factorization.

2098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

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

The square root of 2098640 is about 1448.6683540410. The cubic root of 2098640 is about 128.0302662803.

The spelling of 2098640 in words is "two million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 709 740 1418 1480 2836 2960 3545 5672 7090 11344 14180 26233 28360 52466 56720 104932 131165 209864 262330 419728 524660 1049320 2098640