Search a number
-
+
1060260226560 = 29335232107271
BaseRepresentation
bin11110110110111000110…
…11110010011000000000
310202100201100200002222000
433123130123302120000
5114332403104222220
62131024332144000
7136413144140523
oct17333433623000
93670640602860
101060260226560
11379721291027
1215159b008000
1378c9c909132
14394616b8bba
151c8a6c6d390
hexf6dc6f2600

1060260226560 has 960 divisors, whose sum is σ = 3988454722560. Its totient is φ = 266927063040.

The previous prime is 1060260226559. The next prime is 1060260226573. The reversal of 1060260226560 is 656220620601.

1060260226560 is a `hidden beast` number, since 10 + 6 + 0 + 2 + 60 + 2 + 26 + 560 = 666.

1060260226560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10602602265602 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912399225 + ... + 3912399495.

It is an arithmetic number, because the mean of its divisors is an integer number (4154640336).

Almost surely, 21060260226560 is an apocalyptic number.

1060260226560 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 1060260226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994227361280).

1060260226560 is an abundant number, since it is smaller than the sum of its proper divisors (2928194496000).

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

1060260226560 is a wasteful number, since it uses less digits than its factorization.

1060260226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1060260226560 in words is "one trillion, sixty billion, two hundred sixty million, two hundred twenty-six thousand, five hundred sixty".