Search a number
-
+
11236974840 = 233257131720177
BaseRepresentation
bin10100111011100011…
…01010000011111000
31002000010100110121100
422131301222003320
5141003131143330
65055011211400
7545314465410
oct123561520370
932003313540
1011236974840
114846a85573
1222172a6b60
1310a1059550
14788559640
1545b79e060
hex29dc6a0f8

11236974840 has 384 divisors, whose sum is σ = 47594252160. Its totient is φ = 2231304192.

The previous prime is 11236974817. The next prime is 11236974841. The reversal of 11236974840 is 4847963211.

11236974840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11236974841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 546832 + ... + 567008.

It is an arithmetic number, because the mean of its divisors is an integer number (123943365).

Almost surely, 211236974840 is an apocalyptic number.

11236974840 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 11236974840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23797126080).

11236974840 is an abundant number, since it is smaller than the sum of its proper divisors (36357277320).

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

11236974840 is a wasteful number, since it uses less digits than its factorization.

11236974840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20224 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11236974840 in words is "eleven billion, two hundred thirty-six million, nine hundred seventy-four thousand, eight hundred forty".