Search a number
-
+
1215360 = 27325211
BaseRepresentation
bin100101000101110000000
32021202011100
410220232000
5302342420
642014400
713221216
oct4505600
92252140
101215360
11760133
124a7400
13337263
14238cb6
15190190
hex128b80

1215360 has 96 divisors (see below), whose sum is σ = 4216680. Its totient is φ = 322560.

The previous prime is 1215359. The next prime is 1215367. The reversal of 1215360 is 635121.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1215367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5655 + ... + 5865.

21215360 is an apocalyptic number.

1215360 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 1215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108340).

1215360 is an abundant number, since it is smaller than the sum of its proper divisors (3001320).

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

1215360 is a wasteful number, since it uses less digits than its factorization.

1215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1215360 is about 1102.4336714742. The cubic root of 1215360 is about 106.7173370371.

The spelling of 1215360 in words is "one million, two hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 211 240 288 320 360 384 422 480 576 633 640 720 844 960 1055 1152 1266 1440 1688 1899 1920 2110 2532 2880 3165 3376 3798 4220 5064 5760 6330 6752 7596 8440 9495 10128 12660 13504 15192 16880 18990 20256 25320 27008 30384 33760 37980 40512 50640 60768 67520 75960 81024 101280 121536 135040 151920 202560 243072 303840 405120 607680 1215360