Search a number
-
+
1119666240 = 26355711217
BaseRepresentation
bin100001010111100…
…1100000001000000
32220000211221100000
41002233030001000
54243113304430
6303034200000
736514002030
oct10257140100
92800757300
101119666240
11525027900
12272b83000
1314ac78204
14a89bb8c0
156846ce60
hex42bcc040

1119666240 has 1008 divisors, whose sum is σ = 5312151936. Its totient is φ = 218972160.

The previous prime is 1119666239. The next prime is 1119666269. The reversal of 1119666240 is 426669111.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 1119666195 and 1119666204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862712 + ... + 65862728.

It is an arithmetic number, because the mean of its divisors is an integer number (5269992).

Almost surely, 21119666240 is an apocalyptic number.

1119666240 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 1119666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656075968).

1119666240 is an abundant number, since it is smaller than the sum of its proper divisors (4192485696).

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

1119666240 is a wasteful number, since it uses less digits than its factorization.

1119666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1119666240 is about 33461.4141960557. The cubic root of 1119666240 is about 1038.3956525721.

The spelling of 1119666240 in words is "one billion, one hundred nineteen million, six hundred sixty-six thousand, two hundred forty".