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1316448 = 25327653
BaseRepresentation
bin101000001011001100000
32110212211100
411001121200
5314111243
644114400
714122020
oct5013140
92425740
101316448
1181a081
12535a00
13371283
14263a80
151b00d3
hex141660

1316448 has 72 divisors (see below), whose sum is σ = 4285008. Its totient is φ = 375552.

The previous prime is 1316437. The next prime is 1316479. The reversal of 1316448 is 8446131.

1316448 is a `hidden beast` number, since 13 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1690 + ... + 2342.

It is an arithmetic number, because the mean of its divisors is an integer number (59514).

21316448 is an apocalyptic number.

1316448 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 1316448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142504).

1316448 is an abundant number, since it is smaller than the sum of its proper divisors (2968560).

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

1316448 is a wasteful number, since it uses less digits than its factorization.

1316448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1316448 is about 1147.3656784129. The cubic root of 1316448 is about 109.5976485545.

It can be divided in two parts, 1316 and 448, that added together give a square (1764 = 422).

The spelling of 1316448 in words is "one million, three hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 653 672 1008 1306 1959 2016 2612 3918 4571 5224 5877 7836 9142 10448 11754 13713 15672 18284 20896 23508 27426 31344 36568 41139 47016 54852 62688 73136 82278 94032 109704 146272 164556 188064 219408 329112 438816 658224 1316448