Search a number
-
+
1189985040 = 2433517231409
BaseRepresentation
bin100011011101101…
…1011101100010000
310001221011111121000
41012323123230100
54414114010130
6314025302000
741326464066
oct10673335420
93057144530
101189985040
11560796412
12292634900
1315c6c8b7a
14b4084036
156e70d260
hex46edbb10

1189985040 has 320 divisors, whose sum is σ = 4531852800. Its totient is φ = 285474816.

The previous prime is 1189985021. The next prime is 1189985077. The reversal of 1189985040 is 405899811.

1189985040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843856 + ... + 845264.

It is an arithmetic number, because the mean of its divisors is an integer number (14162040).

Almost surely, 21189985040 is an apocalyptic number.

1189985040 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 1189985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265926400).

1189985040 is an abundant number, since it is smaller than the sum of its proper divisors (3341867760).

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

1189985040 is a wasteful number, since it uses less digits than its factorization.

1189985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1189985040 is about 34496.1597862719. The cubic root of 1189985040 is about 1059.6940614649.

The spelling of 1189985040 in words is "one billion, one hundred eighty-nine million, nine hundred eighty-five thousand, forty".