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2041416 = 233313727
BaseRepresentation
bin111110010011001001000
310211201022000
413302121020
51010311131
6111431000
723231436
oct7623110
93751260
102041416
111174823
12825460
13566250
143b1d56
152a4ce6
hex1f2648

2041416 has 64 divisors (see below), whose sum is σ = 6115200. Its totient is φ = 627264.

The previous prime is 2041387. The next prime is 2041421. The reversal of 2041416 is 6141402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

22041416 is an apocalyptic number.

2041416 is a gapful number since it is divisible by the number (26) 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 2041416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057600).

2041416 is an abundant number, since it is smaller than the sum of its proper divisors (4073784).

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

2041416 is a wasteful number, since it uses less digits than its factorization.

2041416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2041416 is about 1428.7812988698. The cubic root of 2041416 is about 126.8558514947.

Adding to 2041416 its reverse (6141402), we get a palindrome (8182818).

The spelling of 2041416 in words is "two million, forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 727 936 1404 1454 2181 2808 2908 4362 5816 6543 8724 9451 13086 17448 18902 19629 26172 28353 37804 39258 52344 56706 75608 78516 85059 113412 157032 170118 226824 255177 340236 510354 680472 1020708 2041416