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1214688 = 25312653
BaseRepresentation
bin100101000100011100000
32021201020110
410220203200
5302332223
642011320
713216236
oct4504340
92251213
101214688
1175a682
124a6b40
13336b67
14238956
1518ed93
hex1288e0

1214688 has 24 divisors (see below), whose sum is σ = 3188808. Its totient is φ = 404864.

The previous prime is 1214687. The next prime is 1214711. The reversal of 1214688 is 8864121.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6231 + ... + 6422.

It is an arithmetic number, because the mean of its divisors is an integer number (132867).

21214688 is an apocalyptic number.

It is an amenable number.

1214688 is an abundant number, since it is smaller than the sum of its proper divisors (1974120).

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

1214688 is a wasteful number, since it uses less digits than its factorization.

1214688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12658 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1214688 is about 1102.1288490916. The cubic root of 1214688 is about 106.6976646021.

The spelling of 1214688 in words is "one million, two hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12653 25306 37959 50612 75918 101224 151836 202448 303672 404896 607344 1214688