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11112320 = 27597179
BaseRepresentation
bin101010011000…
…111110000000
3202220120020102
4222120332000
510321043240
61034101532
7163311302
oct52307600
922816212
1011112320
1162aa93a
12387a8a8
1323c0c4b
141693972
15e97815
hexa98f80

11112320 has 64 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 4374528.

The previous prime is 11112319. The next prime is 11112329. The reversal of 11112320 is 2321111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112329) 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, 61991 + ... + 62169.

Almost surely, 211112320 is an apocalyptic number.

11112320 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 11112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

11112320 is an abundant number, since it is smaller than the sum of its proper divisors (15876880).

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

11112320 is an equidigital number, since it uses as much as digits as its factorization.

11112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11112320 is about 3333.5146617347. The cubic root of 11112320 is about 223.1524091011.

Adding to 11112320 its reverse (2321111), we get a palindrome (13433431).

The spelling of 11112320 in words is "eleven million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 179 194 320 358 388 485 640 716 776 895 970 1432 1552 1790 1940 2864 3104 3580 3880 5728 6208 7160 7760 11456 12416 14320 15520 17363 22912 28640 31040 34726 57280 62080 69452 86815 114560 138904 173630 277808 347260 555616 694520 1111232 1389040 2222464 2778080 5556160 11112320