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12993500 = 2253131999
BaseRepresentation
bin110001100100…
…001111011100
3220110010201202
4301210033130
511311243000
61142255032
7215304632
oct61441734
926403652
1012993500
117375233
124427478
1328cc280
141a23352
151219dd5
hexc643dc

12993500 has 48 divisors (see below), whose sum is σ = 30576000. Its totient is φ = 4795200.

The previous prime is 12993499. The next prime is 12993509. The reversal of 12993500 is 539921.

12993500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993509) 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, 5501 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (637000).

Almost surely, 212993500 is an apocalyptic number.

12993500 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 12993500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288000).

12993500 is an abundant number, since it is smaller than the sum of its proper divisors (17582500).

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

12993500 is a wasteful number, since it uses less digits than its factorization.

12993500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 12993500 is about 3604.6497749435. The cubic root of 12993500 is about 235.0942733273.

The spelling of 12993500 in words is "twelve million, nine hundred ninety-three thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 1999 3250 3998 6500 7996 9995 19990 25987 39980 49975 51974 99950 103948 129935 199900 249875 259870 499750 519740 649675 999500 1299350 2598700 3248375 6496750 12993500