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13360087840 = 25511171812467
BaseRepresentation
bin11000111000101001…
…01100001100100000
31021111002100210010011
430130110230030200
5204330140302330
610045413014304
7652034605261
oct143424541440
937432323104
1013360087840
11573646a810
12270a324394
13134bb7a728
1490a500968
15532d7e82a
hex31c52c320

13360087840 has 192 divisors, whose sum is σ = 36674322048. Its totient is φ = 4545331200.

The previous prime is 13360087801. The next prime is 13360087849. The reversal of 13360087840 is 4878006331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13360087793 and 13360087802.

It is not an unprimeable number, because it can be changed into a prime (13360087849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5414287 + ... + 5416753.

It is an arithmetic number, because the mean of its divisors is an integer number (191012094).

Almost surely, 213360087840 is an apocalyptic number.

13360087840 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 13360087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337161024).

13360087840 is an abundant number, since it is smaller than the sum of its proper divisors (23314234208).

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

13360087840 is a wasteful number, since it uses less digits than its factorization.

13360087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13360087840 in words is "thirteen billion, three hundred sixty million, eighty-seven thousand, eight hundred forty".