Search a number
-
+
12215040 = 28353181
BaseRepresentation
bin101110100110…
…001100000000
3211222120212220
4232212030000
511111340130
61113451040
7205553235
oct56461400
924876786
1012215040
116993382
124110a80
1326b8b46
14189d78c
151114410
hexba6300

12215040 has 72 divisors (see below), whose sum is σ = 39024048. Its totient is φ = 3256320.

The previous prime is 12215039. The next prime is 12215087. The reversal of 12215040 is 4051221.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2250 + ... + 5430.

Almost surely, 212215040 is an apocalyptic number.

12215040 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 12215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512024).

12215040 is an abundant number, since it is smaller than the sum of its proper divisors (26809008).

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

12215040 is an equidigital number, since it uses as much as digits as its factorization.

12215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12215040 is about 3495.0021459221. The cubic root of 12215040 is about 230.3023119819.

Subtracting from 12215040 its sum of digits (15), we obtain a square (12215025 = 34952).

Adding to 12215040 its reverse (4051221), we get a palindrome (16266261).

The spelling of 12215040 in words is "twelve million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3181 3840 6362 9543 12724 15905 19086 25448 31810 38172 47715 50896 63620 76344 95430 101792 127240 152688 190860 203584 254480 305376 381720 407168 508960 610752 763440 814336 1017920 1221504 1526880 2035840 2443008 3053760 4071680 6107520 12215040