Search a number
-
+
1189386240 = 2113575531
BaseRepresentation
bin100011011100100…
…1001100000000000
310001220001002012020
41012321021200000
54413440324430
6314004401440
741321421240
oct10671114000
93056032166
101189386240
11560417539
122923a6280
1315c549453
14b3d69b20
156e640b10
hex46e49800

1189386240 has 192 divisors, whose sum is σ = 4349479680. Its totient is φ = 271810560.

The previous prime is 1189386229. The next prime is 1189386241. The reversal of 1189386240 is 426839811.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1189386192 and 1189386201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189386241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212275 + ... + 217805.

It is an arithmetic number, because the mean of its divisors is an integer number (22653540).

Almost surely, 21189386240 is an apocalyptic number.

1189386240 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 1189386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174739840).

1189386240 is an abundant number, since it is smaller than the sum of its proper divisors (3160093440).

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

1189386240 is an equidigital number, since it uses as much as digits as its factorization.

1189386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1189386240 is about 34487.4794671921. The cubic root of 1189386240 is about 1059.5162857655.

The spelling of 1189386240 in words is "one billion, one hundred eighty-nine million, three hundred eighty-six thousand, two hundred forty".