Search a number
-
+
11139296 = 2572232
BaseRepresentation
bin101010011111…
…100011100000
3202221221020112
4222133203200
510322424141
61034430452
7163453040
oct52374340
922857215
1011139296
116319133
123892428
1324002cc
14169d720
15ea07eb
hexa9f8e0

11139296 has 36 divisors (see below), whose sum is σ = 25176312. Its totient is φ = 4752576.

The previous prime is 11139287. The next prime is 11139341. The reversal of 11139296 is 69293111.

11139296 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49841 + ... + 50063.

It is an arithmetic number, because the mean of its divisors is an integer number (699342).

Almost surely, 211139296 is an apocalyptic number.

11139296 is a gapful number since it is divisible by the number (16) 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 11139296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588156).

11139296 is an abundant number, since it is smaller than the sum of its proper divisors (14037016).

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

11139296 is an frugal number, since it uses more digits than its factorization.

11139296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 232 counting only the distinct ones).

The product of its digits is 2916, while the sum is 32.

The square root of 11139296 is about 3337.5583890024. The cubic root of 11139296 is about 223.3328363148.

The spelling of 11139296 in words is "eleven million, one hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 3122 3568 6244 7136 12488 24976 49729 49952 99458 198916 348103 397832 696206 795664 1392412 1591328 2784824 5569648 11139296