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1215216 = 24332997
BaseRepresentation
bin100101000101011110000
32021201222000
410220223300
5302341331
642014000
713220622
oct4505360
92251860
101215216
11760012
124a7300
13337182
14238c12
151900e6
hex128af0

1215216 has 80 divisors (see below), whose sum is σ = 3645600. Its totient is φ = 387072.

The previous prime is 1215209. The next prime is 1215229. The reversal of 1215216 is 6125121.

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 15 ways as a sum of consecutive naturals, for example, 12480 + ... + 12576.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

21215216 is an apocalyptic number.

1215216 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 1215216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822800).

1215216 is an abundant number, since it is smaller than the sum of its proper divisors (2430384).

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

1215216 is a wasteful number, since it uses less digits than its factorization.

1215216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1215216 is about 1102.3683594879. The cubic root of 1215216 is about 106.7131221259.

It can be divided in two parts, 1215 and 216, that added together give a triangular number (1431 = T53).

The spelling of 1215216 in words is "one million, two hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 97 108 116 144 174 194 216 232 261 291 348 388 432 464 522 582 696 776 783 873 1044 1164 1392 1552 1566 1746 2088 2328 2619 2813 3132 3492 4176 4656 5238 5626 6264 6984 8439 10476 11252 12528 13968 16878 20952 22504 25317 33756 41904 45008 50634 67512 75951 101268 135024 151902 202536 303804 405072 607608 1215216