Search a number
-
+
1132196940 = 223457217839
BaseRepresentation
bin100001101111011…
…1111010001001100
32220220102120020000
41003132333101030
54304320300230
6304202524300
740025341500
oct10336772114
92826376200
101132196940
11531106356
12277206690
13150744924
14aa520300
15695e5b60
hex437bf44c

1132196940 has 360 divisors, whose sum is σ = 4379870880. Its totient is φ = 243274752.

The previous prime is 1132196921. The next prime is 1132196951. The reversal of 1132196940 is 496912311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1132196895 and 1132196904.

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 119 ways as a sum of consecutive naturals, for example, 1349041 + ... + 1349879.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 21132196940 is an apocalyptic number.

1132196940 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 1132196940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189935440).

1132196940 is an abundant number, since it is smaller than the sum of its proper divisors (3247673940).

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

1132196940 is a wasteful number, since it uses less digits than its factorization.

1132196940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1132196940 is about 33648.1342722000. The cubic root of 1132196940 is about 1042.2550120456.

The spelling of 1132196940 in words is "one billion, one hundred thirty-two million, one hundred ninety-six thousand, nine hundred forty".