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2126466 = 23353743
BaseRepresentation
bin1000000111001010000010
311000000222000
420013022002
51021021331
6113324430
724034416
oct10071202
94000860
102126466
111222711
12866716
13595b84
143d4d46
152c00e6
hex207282

2126466 has 32 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 694512.

The previous prime is 2126459. The next prime is 2126491. The reversal of 2126466 is 6646212.

It is a happy number.

2126466 is a `hidden beast` number, since 2 + 12 + 646 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a zygodrome in base 3.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 3233.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

22126466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2126466 is an abundant number, since it is smaller than the sum of its proper divisors (2694654).

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

2126466 is a wasteful number, since it uses less digits than its factorization.

2126466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2126466 is about 1458.2407208688. The cubic root of 2126466 is about 128.5936374334.

The spelling of 2126466 in words is "two million, one hundred twenty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 743 954 1431 1486 2229 2862 4458 6687 13374 20061 39379 40122 78758 118137 236274 354411 708822 1063233 2126466