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1316016 = 2432131937
BaseRepresentation
bin101000001010010110000
32110212020100
411001102300
5314103031
644112400
714120532
oct5012260
92425210
101316016
11819819
12535700
13371010
14263852
151aede6
hex1414b0

1316016 has 120 divisors (see below), whose sum is σ = 4287920. Its totient is φ = 373248.

The previous prime is 1316009. The next prime is 1316017. The reversal of 1316016 is 6106131.

1316016 = T248 + T249 + ... + T284.

It is a super-2 number, since 2×13160162 = 3463796224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1316016.

It is not an unprimeable number, because it can be changed into a prime (1316017) 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 23 ways as a sum of consecutive naturals, for example, 35550 + ... + 35586.

21316016 is an apocalyptic number.

1316016 is a gapful number since it is divisible by the number (16) 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 1316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143960).

1316016 is an abundant number, since it is smaller than the sum of its proper divisors (2971904).

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

1316016 is a wasteful number, since it uses less digits than its factorization.

1316016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1316016 is about 1147.1774056352. The cubic root of 1316016 is about 109.5856588762.

The spelling of 1316016 in words is "one million, three hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 37 38 39 48 52 57 72 74 76 78 104 111 114 117 144 148 152 156 171 208 222 228 234 247 296 304 312 333 342 444 456 468 481 494 592 624 666 684 703 741 888 912 936 962 988 1332 1368 1406 1443 1482 1776 1872 1924 1976 2109 2223 2664 2736 2812 2886 2964 3848 3952 4218 4329 4446 5328 5624 5772 5928 6327 7696 8436 8658 8892 9139 11248 11544 11856 12654 16872 17316 17784 18278 23088 25308 27417 33744 34632 35568 36556 50616 54834 69264 73112 82251 101232 109668 146224 164502 219336 329004 438672 658008 1316016