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13071240 = 23335721319
BaseRepresentation
bin110001110111…
…001110001000
3220121002101000
4301313032020
511321234430
61144055000
7216050400
oct61671610
926532330
1013071240
117418686
124464460
132928780
141a43800
151232e60
hexc77388

13071240 has 384 divisors, whose sum is σ = 57456000. Its totient is φ = 2612736.

The previous prime is 13071211. The next prime is 13071241. The reversal of 13071240 is 4217031.

13071240 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13071241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687951 + ... + 687969.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

Almost surely, 213071240 is an apocalyptic number.

13071240 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 13071240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

13071240 is an abundant number, since it is smaller than the sum of its proper divisors (44384760).

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

13071240 is a wasteful number, since it uses less digits than its factorization.

13071240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13071240 is about 3615.4169883984. The cubic root of 13071240 is about 235.5621970491.

Adding to 13071240 its reverse (4217031), we get a palindrome (17288271).

The spelling of 13071240 in words is "thirteen million, seventy-one thousand, two hundred forty".