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14988900 = 22352172939
BaseRepresentation
bin111001001011…
…011001100100
31001012111220110
4321023121210
512314121100
61253133020
7241255263
oct71133144
931174813
1014988900
118508423
12502a170
13314a594
141dc25da
1514b1250
hexe4b664

14988900 has 72 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 3760640.

The previous prime is 14988899. The next prime is 14988901. The reversal of 14988900 is 988941.

14988900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14988899) and next prime (14988901).

It is not an unprimeable number, because it can be changed into a prime (14988901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 214988900 is an apocalyptic number.

14988900 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 14988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

14988900 is an abundant number, since it is smaller than the sum of its proper divisors (30945660).

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

14988900 is a wasteful number, since it uses less digits than its factorization.

14988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 14988900 is about 3871.5500771655. The cubic root of 14988900 is about 246.5603591902.

The spelling of 14988900 in words is "fourteen million, nine hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 2939 5100 5878 8817 11756 14695 17634 29390 35268 44085 49963 58780 73475 88170 99926 146950 149889 176340 199852 220425 249815 293900 299778 440850 499630 599556 749445 881700 999260 1249075 1498890 2498150 2997780 3747225 4996300 7494450 14988900