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11320000 = 2654283
BaseRepresentation
bin101011001011…
…101011000000
3210022010010021
4223023223000
510344220000
61042343224
7165134626
oct53135300
923263107
1011320000
11643197a
12395ab14
132464633
141709516
15ed911a
hexacbac0

11320000 has 70 divisors (see below), whose sum is σ = 28169108. Its totient is φ = 4512000.

The previous prime is 11319983. The next prime is 11320003. The reversal of 11320000 is 2311.

It is not an unprimeable number, because it can be changed into a prime (11320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39859 + ... + 40141.

Almost surely, 211320000 is an apocalyptic number.

11320000 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 11320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084554).

11320000 is an abundant number, since it is smaller than the sum of its proper divisors (16849108).

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

11320000 is an frugal number, since it uses more digits than its factorization.

11320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 11320000 is about 3364.5207682521. The cubic root of 11320000 is about 224.5340150145.

Adding to 11320000 its reverse (2311), we get a palindrome (11322311).

The spelling of 11320000 in words is "eleven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 283 320 400 500 566 625 800 1000 1132 1250 1415 1600 2000 2264 2500 2830 4000 4528 5000 5660 7075 8000 9056 10000 11320 14150 18112 20000 22640 28300 35375 40000 45280 56600 70750 90560 113200 141500 176875 226400 283000 353750 452800 566000 707500 1132000 1415000 2264000 2830000 5660000 11320000