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11720000 = 2654293
BaseRepresentation
bin101100101101…
…010101000000
3211001102211002
4230231111000
511000020000
61055111132
7201422045
oct54552500
924042732
1011720000
116685456
123b124a8
132574716
1417b11cc
1510678d5
hexb2d540

11720000 has 70 divisors (see below), whose sum is σ = 29160978. Its totient is φ = 4672000.

The previous prime is 11719999. The next prime is 11720029. The reversal of 11720000 is 2711.

It can be written as a sum of positive squares in 5 ways, for example, as 1784896 + 9935104 = 1336^2 + 3152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39854 + ... + 40146.

Almost surely, 211720000 is an apocalyptic number.

11720000 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 11720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580489).

11720000 is an abundant number, since it is smaller than the sum of its proper divisors (17440978).

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

11720000 is an frugal number, since it uses more digits than its factorization.

11720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 11720000 is about 3423.4485537247. The cubic root of 11720000 is about 227.1481499084.

Adding to 11720000 its reverse (2711), we get a palindrome (11722711).

The spelling of 11720000 in words is "eleven million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 293 320 400 500 586 625 800 1000 1172 1250 1465 1600 2000 2344 2500 2930 4000 4688 5000 5860 7325 8000 9376 10000 11720 14650 18752 20000 23440 29300 36625 40000 46880 58600 73250 93760 117200 146500 183125 234400 293000 366250 468800 586000 732500 1172000 1465000 2344000 2930000 5860000 11720000