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2413068 = 2237231249
BaseRepresentation
bin1001001101001000001100
311112121002220
421031020030
51104204233
6123415340
726340120
oct11151014
94477086
102413068
1113a8a79
12984550
13666468
1446b580
15329eb3
hex24d20c

2413068 has 48 divisors (see below), whose sum is σ = 6720000. Its totient is φ = 658944.

The previous prime is 2413063. The next prime is 2413097. The reversal of 2413068 is 8603142.

It is a happy number.

2413068 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 221 + 45 + 1 + 37 + 0 + 67 + 85 .

It is not an unprimeable number, because it can be changed into a prime (2413063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (140000).

22413068 is an apocalyptic number.

2413068 is a gapful number since it is divisible by the number (28) 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 2413068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360000).

2413068 is an abundant number, since it is smaller than the sum of its proper divisors (4306932).

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

2413068 is a wasteful number, since it uses less digits than its factorization.

2413068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2413068 is about 1553.4052916094. The cubic root of 2413068 is about 134.1291544541.

The spelling of 2413068 in words is "two million, four hundred thirteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1249 1932 2498 3747 4996 7494 8743 14988 17486 26229 28727 34972 52458 57454 86181 104916 114908 172362 201089 344724 402178 603267 804356 1206534 2413068