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1008216 = 2332111967
BaseRepresentation
bin11110110001001011000
31220020000100
43312021120
5224230331
633335400
711366256
oct3661130
91806010
101008216
11629540
12407560
13293ba1
141c35d6
1514dae6
hexf6258

1008216 has 96 divisors (see below), whose sum is σ = 3182400. Its totient is φ = 285120.

The previous prime is 1008209. The next prime is 1008223. The reversal of 1008216 is 6128001.

1008216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1008209) and next prime (1008223).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15015 + ... + 15081.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

21008216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

1008216 is an abundant number, since it is smaller than the sum of its proper divisors (2174184).

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

1008216 is a wasteful number, since it uses less digits than its factorization.

1008216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1008216 is about 1004.0995966536. The cubic root of 1008216 is about 100.2731200420.

The spelling of 1008216 in words is "one million, eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 67 72 76 88 99 114 132 134 152 171 198 201 209 228 264 268 342 396 402 418 456 536 603 627 684 737 792 804 836 1206 1254 1273 1368 1474 1608 1672 1881 2211 2412 2508 2546 2948 3762 3819 4422 4824 5016 5092 5896 6633 7524 7638 8844 10184 11457 13266 14003 15048 15276 17688 22914 26532 28006 30552 42009 45828 53064 56012 84018 91656 112024 126027 168036 252054 336072 504108 1008216