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1016016 = 24361347
BaseRepresentation
bin11111000000011010000
31220121201020
43320003100
5230003031
633435440
711431101
oct3700320
91817636
101016016
11634391
1240bb80
132975c1
141c63a8
15151096
hexf80d0

1016016 has 40 divisors (see below), whose sum is σ = 2675424. Its totient is φ = 332160.

The previous prime is 1016011. The next prime is 1016023. The reversal of 1016016 is 6106101.

It is a junction number, because it is equal to n+sod(n) for n = 1015986 and 1016004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755 + ... + 3101.

21016016 is an apocalyptic number.

1016016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1016016 is the 638-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337712).

1016016 is an abundant number, since it is smaller than the sum of its proper divisors (1659408).

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

1016016 is a wasteful number, since it uses less digits than its factorization.

1016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1016016 is about 1007.9761901950. The cubic root of 1016016 is about 100.5310416227.

The spelling of 1016016 in words is "one million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 347 366 488 694 732 976 1041 1388 1464 2082 2776 2928 4164 5552 8328 16656 21167 42334 63501 84668 127002 169336 254004 338672 508008 1016016