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11112720 = 2435192437
BaseRepresentation
bin101010011001…
…000100010000
3202220120210020
4222121010100
510321101340
61034103440
7163312413
oct52310420
922816706
1011112720
116300173
12387ab80
1323c1198
141693b7a
15e979d0
hexa99110

11112720 has 80 divisors (see below), whose sum is σ = 36277440. Its totient is φ = 2806272.

The previous prime is 11112677. The next prime is 11112721. The reversal of 11112720 is 2721111.

It is a tau number, because it is divible by the number of its divisors (80).

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 a self number, because there is not a number n which added to its sum of digits gives 11112720.

It is not an unprimeable number, because it can be changed into a prime (11112721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 5778.

It is an arithmetic number, because the mean of its divisors is an integer number (453468).

Almost surely, 211112720 is an apocalyptic number.

11112720 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 11112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138720).

11112720 is an abundant number, since it is smaller than the sum of its proper divisors (25164720).

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

11112720 is a wasteful number, since it uses less digits than its factorization.

11112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 11112720 is about 3333.5746579310. The cubic root of 11112720 is about 223.1550866066.

Adding to 11112720 its reverse (2721111), we get a palindrome (13833831).

The spelling of 11112720 in words is "eleven million, one hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2437 4560 4874 7311 9748 12185 14622 19496 24370 29244 36555 38992 46303 48740 58488 73110 92606 97480 116976 138909 146220 185212 194960 231515 277818 292440 370424 463030 555636 584880 694545 740848 926060 1111272 1389090 1852120 2222544 2778180 3704240 5556360 11112720