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2126088 = 233417193
BaseRepresentation
bin1000000111000100001000
311000000110000
420013010020
51021013323
6113323000
724033336
oct10070410
94000400
102126088
1112223a8
12866460
13595953
143d4b56
152bee43
hex207108

2126088 has 80 divisors (see below), whose sum is σ = 6337980. Its totient is φ = 663552.

The previous prime is 2126087. The next prime is 2126101. The reversal of 2126088 is 8806212.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 324 = 1458^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2126087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10920 + ... + 11112.

22126088 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 2126088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168990).

2126088 is an abundant number, since it is smaller than the sum of its proper divisors (4211892).

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

2126088 is a wasteful number, since it uses less digits than its factorization.

2126088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2126088 is about 1458.1111068777. Note that the first 4 decimals coincide. The cubic root of 2126088 is about 128.5860173922.

The spelling of 2126088 in words is "two million, one hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 193 204 216 306 324 386 408 459 579 612 648 772 918 1158 1224 1377 1544 1737 1836 2316 2754 3281 3474 3672 4632 5211 5508 6562 6948 9843 10422 11016 13124 13896 15633 19686 20844 26248 29529 31266 39372 41688 59058 62532 78744 88587 118116 125064 177174 236232 265761 354348 531522 708696 1063044 2126088