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3860135136 = 25331113157199
BaseRepresentation
bin1110011000010100…
…1111110011100000
3100222000112011221000
43212011033303200
530401143311021
61435012032000
7164441415204
oct34605176340
910860464830
103860135136
111700a44730
128b8902600
13496960a40
14288946b04
15178d48b26
hexe614fce0

3860135136 has 384 divisors, whose sum is σ = 13378176000. Its totient is φ = 1067489280.

The previous prime is 3860135113. The next prime is 3860135137. The reversal of 3860135136 is 6315310683.

It is a happy number.

3860135136 is a `hidden beast` number, since 3 + 8 + 601 + 35 + 13 + 6 = 666.

3860135136 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3860135136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860135137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19397565 + ... + 19397763.

It is an arithmetic number, because the mean of its divisors is an integer number (34839000).

Almost surely, 23860135136 is an apocalyptic number.

3860135136 is a gapful number since it is divisible by the number (36) 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 3860135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689088000).

3860135136 is an abundant number, since it is smaller than the sum of its proper divisors (9518040864).

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

3860135136 is a wasteful number, since it uses less digits than its factorization.

3860135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3860135136 is about 62129.9858039578. The cubic root of 3860135136 is about 1568.6793139772.

It can be divided in two parts, 38601 and 35136, that added together give a palindrome (73737).

The spelling of 3860135136 in words is "three billion, eight hundred sixty million, one hundred thirty-five thousand, one hundred thirty-six".