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11011320 = 2332573419
BaseRepresentation
bin101010000000…
…010011111000
3202201102200200
4222000103320
510304330240
61032002200
7162410655
oct52002370
922642620
1011011320
116240a71
123830360
132386c98
141668c2c
15e77930
hexa804f8

11011320 has 96 divisors (see below), whose sum is σ = 36363600. Its totient is φ = 2889216.

The previous prime is 11011307. The next prime is 11011321. The reversal of 11011320 is 2311011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26071 + ... + 26489.

Almost surely, 211011320 is an apocalyptic number.

11011320 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 11011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181800).

11011320 is an abundant number, since it is smaller than the sum of its proper divisors (25352280).

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

11011320 is a wasteful number, since it uses less digits than its factorization.

11011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11011320 is about 3318.3309057416. The cubic root of 11011320 is about 222.4742721588.

Adding to 11011320 its reverse (2311011), we get a palindrome (13322331).

The spelling of 11011320 in words is "eleven million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 419 438 584 657 730 838 876 1095 1257 1314 1460 1676 1752 2095 2190 2514 2628 2920 3285 3352 3771 4190 4380 5028 5256 6285 6570 7542 8380 8760 10056 12570 13140 15084 16760 18855 25140 26280 30168 30587 37710 50280 61174 75420 91761 122348 150840 152935 183522 244696 275283 305870 367044 458805 550566 611740 734088 917610 1101132 1223480 1376415 1835220 2202264 2752830 3670440 5505660 11011320