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2126040 = 233572531
BaseRepresentation
bin1000000111000011011000
311000000101020
420013003120
51021013130
6113322440
724033240
oct10070330
94000336
102126040
111222364
12866420
13595917
143d4b20
152bee10
hex2070d8

2126040 has 64 divisors (see below), whose sum is σ = 7292160. Its totient is φ = 485760.

The previous prime is 2126039. The next prime is 2126041. The reversal of 2126040 is 406212.

It is an interprime number because it is at equal distance from previous prime (2126039) and next prime (2126041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126041) 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, 426 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (113940).

22126040 is an apocalyptic number.

2126040 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 2126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646080).

2126040 is an abundant number, since it is smaller than the sum of its proper divisors (5166120).

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

2126040 is a wasteful number, since it uses less digits than its factorization.

2126040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2126040 is about 1458.0946471337. The cubic root of 2126040 is about 128.5850497033.

The spelling of 2126040 in words is "two million, one hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2531 5062 7593 10124 12655 15186 17717 20248 25310 30372 35434 37965 50620 53151 60744 70868 75930 88585 101240 106302 141736 151860 177170 212604 265755 303720 354340 425208 531510 708680 1063020 2126040