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2404116 = 22321113467
BaseRepresentation
bin1001001010111100010100
311112010211100
421022330110
51103412431
6123310100
726302041
oct11127424
94463740
102404116
1113a2280
1297b330
13662370
144681c8
153274e6
hex24af14

2404116 has 72 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 671040.

The previous prime is 2404111. The next prime is 2404139. The reversal of 2404116 is 6114042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4915 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

22404116 is an apocalyptic number.

2404116 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 2404116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2404116 is an abundant number, since it is smaller than the sum of its proper divisors (4750668).

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

2404116 is a wasteful number, since it uses less digits than its factorization.

2404116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

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

The square root of 2404116 is about 1550.5212026928. The cubic root of 2404116 is about 133.9630848042.

Adding to 2404116 its reverse (6114042), we get a palindrome (8518158).

It can be divided in two parts, 240 and 4116, that added together give a square (4356 = 662).

The spelling of 2404116 in words is "two million, four hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 467 468 572 858 934 1287 1401 1716 1868 2574 2802 4203 5137 5148 5604 6071 8406 10274 12142 15411 16812 18213 20548 24284 30822 36426 46233 54639 61644 66781 72852 92466 109278 133562 184932 200343 218556 267124 400686 601029 801372 1202058 2404116