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1814148 = 2232723313
BaseRepresentation
bin110111010111010000100
310102011112200
412322322010
5431023043
6102514500
721264030
oct6727204
93364480
101814148
111029aa6
12735a30
134b697b
143531c0
1525c7d3
hex1bae84

1814148 has 72 divisors (see below), whose sum is σ = 5486208. Its totient is φ = 494208.

The previous prime is 1814143. The next prime is 1814161. The reversal of 1814148 is 8414181.

It is a super-2 number, since 2×18141482 = 6582265931808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1814143) by changing a digit.

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, 5640 + ... + 5952.

21814148 is an apocalyptic number.

1814148 is a gapful number since it is divisible by the number (18) 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 1814148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743104).

1814148 is an abundant number, since it is smaller than the sum of its proper divisors (3672060).

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

1814148 is a wasteful number, since it uses less digits than its factorization.

1814148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 1814148 is about 1346.9031145558. The cubic root of 1814148 is about 121.9619159099.

The spelling of 1814148 in words is "one million, eight hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 313 322 414 483 626 644 828 939 966 1252 1449 1878 1932 2191 2817 2898 3756 4382 5634 5796 6573 7199 8764 11268 13146 14398 19719 21597 26292 28796 39438 43194 50393 64791 78876 86388 100786 129582 151179 201572 259164 302358 453537 604716 907074 1814148