Search a number
-
+
1193326992 = 2434111347137
BaseRepresentation
bin100011100100000…
…1011100110010000
310002011110021220000
41013020023212100
54420442430432
6314225050000
741400053304
oct10710134620
93064407800
101193326992
11562669260
12293786900
131602c9060
14b46b3d04
156eb6d57c
hex4720b990

1193326992 has 400 divisors, whose sum is σ = 4174232832. Its totient is φ = 324311040.

The previous prime is 1193326987. The next prime is 1193326993. The reversal of 1193326992 is 2996233911.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1193326993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8710348 + ... + 8710484.

Almost surely, 21193326992 is an apocalyptic number.

1193326992 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 1193326992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087116416).

1193326992 is an abundant number, since it is smaller than the sum of its proper divisors (2980905840).

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

1193326992 is a wasteful number, since it uses less digits than its factorization.

1193326992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1193326992 is about 34544.5653033874. The cubic root of 1193326992 is about 1060.6851485984.

The spelling of 1193326992 in words is "one billion, one hundred ninety-three million, three hundred twenty-six thousand, nine hundred ninety-two".