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13050720 = 253451953
BaseRepresentation
bin110001110010…
…001101100000
3220120001020000
4301302031200
511320110340
61143420000
7215633514
oct61621540
926501200
1013050720
117404221
124454600
13291c327
141a3a144
15122bd30
hexc72360

13050720 has 240 divisors, whose sum is σ = 49397040. Its totient is φ = 3234816.

The previous prime is 13050707. The next prime is 13050731. The reversal of 13050720 is 2705031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13050693 and 13050702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246214 + ... + 246266.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 213050720 is an apocalyptic number.

13050720 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 13050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698520).

13050720 is an abundant number, since it is smaller than the sum of its proper divisors (36346320).

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

13050720 is a wasteful number, since it uses less digits than its factorization.

13050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13050720 is about 3612.5780268390. The cubic root of 13050720 is about 235.4388660334.

Adding to 13050720 its reverse (2705031), we get a palindrome (15755751).

The spelling of 13050720 in words is "thirteen million, fifty thousand, seven hundred twenty".