Search a number
-
+
1129394112 = 26371179967
BaseRepresentation
bin100001101010001…
…0010111111000000
32220201011011110120
41003110102333000
54303111102422
6304022500240
736662456130
oct10324227700
92821134416
101129394112
1152a571570
12276294680
1314cca2c52
14a9dd0ac0
156924045c
hex43512fc0

1129394112 has 224 divisors, whose sum is σ = 3776593920. Its totient is φ = 289336320.

The previous prime is 1129394059. The next prime is 1129394137. The reversal of 1129394112 is 2114939211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167453 + ... + 1168419.

Almost surely, 21129394112 is an apocalyptic number.

1129394112 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 1129394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888296960).

1129394112 is an abundant number, since it is smaller than the sum of its proper divisors (2647199808).

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

1129394112 is a wasteful number, since it uses less digits than its factorization.

1129394112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 1129394112 is about 33606.4593791134. The cubic root of 1129394112 is about 1041.3942444117.

The spelling of 1129394112 in words is "one billion, one hundred twenty-nine million, three hundred ninety-four thousand, one hundred twelve".