Search a number
-
+
1139088240 = 243254147821
BaseRepresentation
bin100001111100101…
…0001101101110000
32221101101200022100
41003321101231300
54313101310430
6305010340400
740141042653
oct10371215560
92841350270
101139088240
11534a92944
1227958a700
13151cb8514
14ab3d589a
156a007960
hex43e51b70

1139088240 has 240 divisors, whose sum is σ = 4006993536. Its totient is φ = 289689600.

The previous prime is 1139088233. The next prime is 1139088241. The reversal of 1139088240 is 428809311.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1139088195 and 1139088204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139088241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1387030 + ... + 1387850.

Almost surely, 21139088240 is an apocalyptic number.

1139088240 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 1139088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003496768).

1139088240 is an abundant number, since it is smaller than the sum of its proper divisors (2867905296).

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

1139088240 is a wasteful number, since it uses less digits than its factorization.

1139088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1139088240 is about 33750.3813311791. The cubic root of 1139088240 is about 1044.3653541371.

The spelling of 1139088240 in words is "one billion, one hundred thirty-nine million, eighty-eight thousand, two hundred forty".