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13232487240 = 2339575
BaseRepresentation
bin11000101001011011…
…11011101101001000
31021011012021000000000
430110231323231020
5204100004042430
610025014043000
7645625200000
oct142455735510
937135230000
1013232487240
115680437575
122693649460
13132b5c210b
148d75a7000
15526a76e60
hex314b7bb48

13232487240 has 480 divisors, whose sum is σ = 52101593280. Its totient is φ = 3024568512.

The previous prime is 13232487197. The next prime is 13232487269. The reversal of 13232487240 is 4278423231.

It is a happy number.

13232487240 is a `hidden beast` number, since 13 + 2 + 324 + 87 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13232487195 and 13232487204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1890355317 + ... + 1890355323.

It is an arithmetic number, because the mean of its divisors is an integer number (108544986).

Almost surely, 213232487240 is an apocalyptic number.

13232487240 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 13232487240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050796640).

13232487240 is an abundant number, since it is smaller than the sum of its proper divisors (38869106040).

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

13232487240 is an frugal number, since it uses more digits than its factorization.

13232487240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13232487240 in words is "thirteen billion, two hundred thirty-two million, four hundred eighty-seven thousand, two hundred forty".