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1314016 = 25113733
BaseRepresentation
bin101000000110011100000
32110202111021
411000303200
5314022031
644055224
714111644
oct5006340
92422437
101314016
11818270
12534514
13370132
14262c24
151ae511
hex140ce0

1314016 has 24 divisors (see below), whose sum is σ = 2822904. Its totient is φ = 597120.

The previous prime is 1314011. The next prime is 1314017. The reversal of 1314016 is 6104131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314011) 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, 1515 + ... + 2218.

It is an arithmetic number, because the mean of its divisors is an integer number (117621).

21314016 is an apocalyptic number.

1314016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314016 is an abundant number, since it is smaller than the sum of its proper divisors (1508888).

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

1314016 is a wasteful number, since it uses less digits than its factorization.

1314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1314016 is about 1146.3053694370. The cubic root of 1314016 is about 109.5301168870.

Adding to 1314016 its reverse (6104131), we get a palindrome (7418147).

The spelling of 1314016 in words is "one million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 3733 7466 14932 29864 41063 59728 82126 119456 164252 328504 657008 1314016