Search a number
-
+
1132286904 = 233373172931
BaseRepresentation
bin100001101111101…
…0101001110111000
32220220121010122000
41003133111032320
54304331140104
6304204501000
740026165000
oct10337251670
92826533560
101132286904
11531167a01
1227724a760
13150776868
14aa545000
1569612639
hex437d53b8

1132286904 has 512 divisors, whose sum is σ = 4147200000. Its totient is φ = 284497920.

The previous prime is 1132286863. The next prime is 1132286923. The reversal of 1132286904 is 4096822311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36525369 + ... + 36525399.

It is an arithmetic number, because the mean of its divisors is an integer number (8100000).

Almost surely, 21132286904 is an apocalyptic number.

1132286904 is a gapful number since it is divisible by the number (14) 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 1132286904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600000).

1132286904 is an abundant number, since it is smaller than the sum of its proper divisors (3014913096).

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

1132286904 is a wasteful number, since it uses less digits than its factorization.

1132286904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1132286904 is about 33649.4710805385. The cubic root of 1132286904 is about 1042.2826170624.

The spelling of 1132286904 in words is "one billion, one hundred thirty-two million, two hundred eighty-six thousand, nine hundred four".