Search a number
-
+
1083876144 = 243131736981
BaseRepresentation
bin100000010011010…
…1010001100110000
32210112111121112220
41000212222030300
54204433014034
6255315121040
735600536521
oct10046521460
92715447486
101083876144
1150690220a
12262ba3180
13143726940
14a3d42848
156524d749
hex409aa330

1083876144 has 40 divisors (see below), whose sum is σ = 3015400752. Its totient is φ = 333500160.

The previous prime is 1083876137. The next prime is 1083876149. The reversal of 1083876144 is 4416783801.

It is a junction number, because it is equal to n+sod(n) for n = 1083876096 and 1083876105.

It is not an unprimeable number, because it can be changed into a prime (1083876149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867867 + ... + 869114.

Almost surely, 21083876144 is an apocalyptic number.

It is an amenable number.

1083876144 is an abundant number, since it is smaller than the sum of its proper divisors (1931524608).

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

1083876144 is a wasteful number, since it uses less digits than its factorization.

1083876144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737005 (or 1736999 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1083876144 is about 32922.2742835303. The cubic root of 1083876144 is about 1027.2115308388.

The spelling of 1083876144 in words is "one billion, eighty-three million, eight hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1736981 3473962 5210943 6947924 10421886 13895848 20843772 22580753 27791696 41687544 45161506 67742259 83375088 90323012 135484518 180646024 270969036 361292048 541938072 1083876144