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11727940 = 2257194409
BaseRepresentation
bin101100101111…
…010001000100
3211001211201011
4230233101010
511000243230
61055212004
7201454150
oct54572104
924054634
1011727940
116690414
123b17004
132578213
1417b4060
151069e2a
hexb2f444

11727940 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3808512.

The previous prime is 11727929. The next prime is 11727971. The reversal of 11727940 is 4972711.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 456 + ... + 4864.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 211727940 is an apocalyptic number.

11727940 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 11727940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11727940 is an abundant number, since it is smaller than the sum of its proper divisors (17907260).

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

11727940 is a wasteful number, since it uses less digits than its factorization.

11727940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 11727940 is about 3424.6080067652. The cubic root of 11727940 is about 227.1994340147.

The spelling of 11727940 in words is "eleven million, seven hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 4409 8818 17636 22045 30863 44090 61726 83771 88180 123452 154315 167542 308630 335084 418855 586397 617260 837710 1172794 1675420 2345588 2931985 5863970 11727940