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2140026 = 237229251
BaseRepresentation
bin1000001010011101111010
311000201120020
420022131322
51021440101
6113511310
724122100
oct10123572
94021506
102140026
111231919
12872536
1359c0b5
143d9c70
152c4136
hex20a77a

2140026 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 588000.

The previous prime is 2140013. The next prime is 2140049. The reversal of 2140026 is 6200412.

2140026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21400262 = 9159422561352, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2139987 and 2140014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8401 + ... + 8651.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22140026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2140026 is an abundant number, since it is smaller than the sum of its proper divisors (3031014).

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

2140026 is a wasteful number, since it uses less digits than its factorization.

2140026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

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

The square root of 2140026 is about 1462.8827704228. The cubic root of 2140026 is about 128.8663961388.

Adding to 2140026 its reverse (6200412), we get a palindrome (8340438).

The spelling of 2140026 in words is "two million, one hundred forty thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 251 294 406 502 609 753 1218 1421 1506 1757 2842 3514 4263 5271 7279 8526 10542 12299 14558 21837 24598 36897 43674 50953 73794 101906 152859 305718 356671 713342 1070013 2140026