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13060887840 = 253257111321741
BaseRepresentation
bin11000010100111110…
…10101010100100000
31020201020100211212200
430022133111110200
5203222041402330
610000004053200
7641442500130
oct141237252440
936636324780
1013060887840
1155a2592390
122646094200
131301b9cb00
148bc898ac0
1551697ca60
hex30a7d5520

13060887840 has 1728 divisors, whose sum is σ = 65264838912. Its totient is φ = 2300313600.

The previous prime is 13060887817. The next prime is 13060887901. The reversal of 13060887840 is 4878806031.

13060887840 is a `hidden beast` number, since 1 + 30 + 608 + 8 + 7 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×130608878403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 318558220 + ... + 318558260.

It is an arithmetic number, because the mean of its divisors is an integer number (37769004).

Almost surely, 213060887840 is an apocalyptic number.

13060887840 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 13060887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632419456).

13060887840 is an abundant number, since it is smaller than the sum of its proper divisors (52203951072).

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

13060887840 is a wasteful number, since it uses less digits than its factorization.

13060887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13060887840 in words is "thirteen billion, sixty million, eight hundred eighty-seven thousand, eight hundred forty".