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1216320 = 26357181
BaseRepresentation
bin100101000111101000000
32021210110220
410220331000
5302410240
642023040
713224060
oct4507500
92253426
101216320
11760926
124a7a80
13337821
142393a0
151905d0
hex128f40

1216320 has 112 divisors (see below), whose sum is σ = 4437888. Its totient is φ = 276480.

The previous prime is 1216277. The next prime is 1216337. The reversal of 1216320 is 236121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1216320.

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, 6630 + ... + 6810.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

21216320 is an apocalyptic number.

1216320 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 1216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944).

1216320 is an abundant number, since it is smaller than the sum of its proper divisors (3221568).

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

1216320 is a wasteful number, since it uses less digits than its factorization.

1216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1216320 is about 1102.8689858728. The cubic root of 1216320 is about 106.7454279405.

It can be divided in two parts, 121 and 6320, that added together give a triangular number (6441 = T113).

The spelling of 1216320 in words is "one million, two hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 181 192 210 224 240 280 320 336 362 420 448 480 543 560 672 724 840 905 960 1086 1120 1267 1344 1448 1680 1810 2172 2240 2534 2715 2896 3360 3620 3801 4344 5068 5430 5792 6335 6720 7240 7602 8688 10136 10860 11584 12670 14480 15204 17376 19005 20272 21720 25340 28960 30408 34752 38010 40544 43440 50680 57920 60816 76020 81088 86880 101360 121632 152040 173760 202720 243264 304080 405440 608160 1216320