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11317760 = 2954421
BaseRepresentation
bin101011001011…
…001000000000
3210022000001022
4223023020000
510344132020
61042325012
7165125246
oct53131000
923260038
1011317760
116430223
123959768
1324635cc
141708796
15ed8625
hexacb200

11317760 has 40 divisors (see below), whose sum is σ = 27142236. Its totient is φ = 4526080.

The previous prime is 11317753. The next prime is 11317769. The reversal of 11317760 is 6771311.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 135424 = 3344^2 + 368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11317769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 4770.

Almost surely, 211317760 is an apocalyptic number.

11317760 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 11317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571118).

11317760 is an abundant number, since it is smaller than the sum of its proper divisors (15824476).

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

11317760 is an frugal number, since it uses more digits than its factorization.

11317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 11317760 is about 3364.1878663356. The cubic root of 11317760 is about 224.5192037845.

The spelling of 11317760 in words is "eleven million, three hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4421 8842 17684 22105 35368 44210 70736 88420 141472 176840 282944 353680 565888 707360 1131776 1414720 2263552 2829440 5658880 11317760