Search a number
-
+
11798136 = 23367172
BaseRepresentation
bin101101000000…
…011001111000
3211012102000000
4231000121320
511010020021
61100513000
7202165620
oct55003170
924172000
1011798136
116729129
123b4b760
1325a115c
1417d1880
151080b26
hexb40678

11798136 has 168 divisors, whose sum is σ = 40266120. Its totient is φ = 3172608.

The previous prime is 11798131. The next prime is 11798147. The reversal of 11798136 is 63189711.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 11798136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11798131) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 694000 + ... + 694016.

Almost surely, 211798136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11798136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133060).

11798136 is an abundant number, since it is smaller than the sum of its proper divisors (28467984).

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

11798136 is an equidigital number, since it uses as much as digits as its factorization.

11798136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11798136 is about 3434.8414810585. The cubic root of 11798136 is about 227.6518231434.

The spelling of 11798136 in words is "eleven million, seven hundred ninety-eight thousand, one hundred thirty-six".