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11720040 = 2335101967
BaseRepresentation
bin101100101101…
…010101101000
3211001102212120
4230231111220
511000020130
61055111240
7201422133
oct54552550
924042776
1011720040
116685492
123b12520
132574747
1417b121a
151067910
hexb2d568

11720040 has 64 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 3091200.

The previous prime is 11720039. The next prime is 11720047. The reversal of 11720040 is 4002711.

11720040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11637 + ... + 12603.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 211720040 is an apocalyptic number.

11720040 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 11720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

11720040 is an abundant number, since it is smaller than the sum of its proper divisors (23824920).

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

11720040 is a wasteful number, since it uses less digits than its factorization.

11720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11720040 is about 3423.4543957821. The cubic root of 11720040 is about 227.1484083247.

Adding to 11720040 its reverse (4002711), we get a palindrome (15722751).

The spelling of 11720040 in words is "eleven million, seven hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 967 1010 1212 1515 1934 2020 2424 2901 3030 3868 4040 4835 5802 6060 7736 9670 11604 12120 14505 19340 23208 29010 38680 58020 97667 116040 195334 293001 390668 488335 586002 781336 976670 1172004 1465005 1953340 2344008 2930010 3906680 5860020 11720040