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11215872 = 210321217
BaseRepresentation
bin101010110010…
…010000000000
3210002211021200
4222302100000
510332401442
61040221200
7164222223
oct52622000
923084250
1011215872
116370718
12390a800
132429115
1416bd5ba
15eb834c
hexab2400

11215872 has 66 divisors (see below), whose sum is σ = 32412198. Its totient is φ = 3735552.

The previous prime is 11215829. The next prime is 11215889. The reversal of 11215872 is 27851211.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 2359296 = 2976^2 + 1536^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8608 + ... + 9824.

Almost surely, 211215872 is an apocalyptic number.

11215872 is a gapful number since it is divisible by the number (12) 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 11215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206099).

11215872 is an abundant number, since it is smaller than the sum of its proper divisors (21196326).

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

11215872 is a wasteful number, since it uses less digits than its factorization.

11215872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1222 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 11215872 is about 3349.0106001624. The cubic root of 11215872 is about 223.8434279994.

The spelling of 11215872 in words is "eleven million, two hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1217 1536 2304 2434 3072 3651 4608 4868 7302 9216 9736 10953 14604 19472 21906 29208 38944 43812 58416 77888 87624 116832 155776 175248 233664 311552 350496 467328 623104 700992 934656 1246208 1401984 1869312 2803968 3738624 5607936 11215872