Search a number
-
+
1084071912 = 2337112173137
BaseRepresentation
bin100000010011101…
…1001111111101000
32210112212120002120
41000213121333220
54210010300122
6255323231240
735602313340
oct10047317750
92715776076
101084071912
11506a26300
12263078520
13143794a91
14a3d93d20
156528b75c
hex409d9fe8

1084071912 has 192 divisors, whose sum is σ = 3605938560. Its totient is φ = 264929280.

The previous prime is 1084071889. The next prime is 1084071913. The reversal of 1084071912 is 2191704801.

1084071912 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 (33).

It is not an unprimeable number, because it can be changed into a prime (1084071913) 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, 344008 + ... + 347144.

It is an arithmetic number, because the mean of its divisors is an integer number (18780930).

Almost surely, 21084071912 is an apocalyptic number.

1084071912 is a gapful number since it is divisible by the number (12) 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 1084071912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802969280).

1084071912 is an abundant number, since it is smaller than the sum of its proper divisors (2521866648).

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

1084071912 is a wasteful number, since it uses less digits than its factorization.

1084071912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1084071912 is about 32925.2473339229. The cubic root of 1084071912 is about 1027.2733715581.

The spelling of 1084071912 in words is "one billion, eighty-four million, seventy-one thousand, nine hundred twelve".