Search a number
-
+
1158973440 = 21135311217
BaseRepresentation
bin100010100010100…
…1000100000000000
32222202210221200020
41011011020200000
54333144122230
6311000453440
740502053212
oct10505104000
92882727606
101158973440
11545234999
1228417a280
1315615b601
14adcd05b2
156bb34810
hex45148800

1158973440 has 192 divisors, whose sum is σ = 3830561280. Its totient is φ = 298844160.

The previous prime is 1158973391. The next prime is 1158973441. The reversal of 1158973440 is 443798511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1158973392 and 1158973401.

It is not an unprimeable number, because it can be changed into a prime (1158973441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951712 + ... + 952928.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 21158973440 is an apocalyptic number.

1158973440 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 1158973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915280640).

1158973440 is an abundant number, since it is smaller than the sum of its proper divisors (2671587840).

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

1158973440 is a wasteful number, since it uses less digits than its factorization.

1158973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1158973440 is about 34043.6989764626. The cubic root of 1158973440 is about 1050.4075334148.

The spelling of 1158973440 in words is "one billion, one hundred fifty-eight million, nine hundred seventy-three thousand, four hundred forty".