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11219712 = 28372087
BaseRepresentation
bin101010110011…
…001100000000
3210010000112220
4222303030000
510333012322
61040251040
7164236350
oct52631400
923100486
1011219712
116373599
123910a80
13242aaaa
1416c0b60
15eb955c
hexab3300

11219712 has 72 divisors (see below), whose sum is σ = 34142976. Its totient is φ = 3204096.

The previous prime is 11219701. The next prime is 11219713. The reversal of 11219712 is 21791211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11219713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4333 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (474208).

Almost surely, 211219712 is an apocalyptic number.

11219712 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 11219712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071488).

11219712 is an abundant number, since it is smaller than the sum of its proper divisors (22923264).

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

11219712 is an equidigital number, since it uses as much as digits as its factorization.

11219712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2099 counting only the distinct ones).

The product of its digits is 252, while the sum is 24.

The square root of 11219712 is about 3349.5838547497. The cubic root of 11219712 is about 223.8689709884.

The spelling of 11219712 in words is "eleven million, two hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2087 2688 4174 5376 6261 8348 12522 14609 16696 25044 29218 33392 43827 50088 58436 66784 87654 100176 116872 133568 175308 200352 233744 267136 350616 400704 467488 534272 701232 801408 934976 1402464 1602816 1869952 2804928 3739904 5609856 11219712