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1216080 = 24335563
BaseRepresentation
bin100101000111001010000
32021210011000
410220321100
5302403310
642022000
713223265
oct4507120
92253130
101216080
11760728
124a7900
13337698
1423926c
151904c0
hex128e50

1216080 has 80 divisors (see below), whose sum is σ = 4196160. Its totient is φ = 323712.

The previous prime is 1216069. The next prime is 1216087. The reversal of 1216080 is 806121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (52452).

21216080 is an apocalyptic number.

1216080 is a gapful number since it is divisible by the number (10) 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 1216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098080).

1216080 is an abundant number, since it is smaller than the sum of its proper divisors (2980080).

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

1216080 is a wasteful number, since it uses less digits than its factorization.

1216080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

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

The square root of 1216080 is about 1102.7601733831. The cubic root of 1216080 is about 106.7384066007.

The spelling of 1216080 in words is "one million, two hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 563 720 1080 1126 1689 2160 2252 2815 3378 4504 5067 5630 6756 8445 9008 10134 11260 13512 15201 16890 20268 22520 25335 27024 30402 33780 40536 45040 50670 60804 67560 76005 81072 101340 121608 135120 152010 202680 243216 304020 405360 608040 1216080