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2057406 = 231322029
BaseRepresentation
bin111110110010010111110
310212112020020
413312102332
51011314111
6112033010
723326161
oct7662276
93775206
102057406
11118583a
12832766
13570600
143b7ad8
152a9906
hex1f64be

2057406 has 24 divisors (see below), whose sum is σ = 4457880. Its totient is φ = 632736.

The previous prime is 2057401. The next prime is 2057411. The reversal of 2057406 is 6047502.

It is a happy number.

2057406 is a nontrivial binomial coefficient, being equal to C(2029, 2).

It is an interprime number because it is at equal distance from previous prime (2057401) and next prime (2057411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 2028.

It is an arithmetic number, because the mean of its divisors is an integer number (185745).

22057406 is an apocalyptic number.

2057406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2057406 is the 2028-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228940).

2057406 is an abundant number, since it is smaller than the sum of its proper divisors (2400474).

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

2057406 is a wasteful number, since it uses less digits than its factorization.

2057406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2057406 is about 1434.3660620637. The cubic root of 2057406 is about 127.1862025697.

The spelling of 2057406 in words is "two million, fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2029 4058 6087 12174 26377 52754 79131 158262 342901 685802 1028703 2057406