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11197888 = 261343313
BaseRepresentation
bin101010101101…
…110111000000
3210001220121121
4222231313000
510331313023
61040002024
7164115622
oct52556700
923056547
1011197888
116359159
123900314
132420b90
1416b6c12
15eb2d5d
hexaaddc0

11197888 has 56 divisors (see below), whose sum is σ = 24564848. Its totient is φ = 5031936.

The previous prime is 11197877. The next prime is 11197889. The reversal of 11197888 is 88879111.

11197888 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 (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35620 + ... + 35932.

It is an arithmetic number, because the mean of its divisors is an integer number (438658).

Almost surely, 211197888 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 11197888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282424).

11197888 is an abundant number, since it is smaller than the sum of its proper divisors (13366960).

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

11197888 is a wasteful number, since it uses less digits than its factorization.

11197888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 32256, while the sum is 43.

The square root of 11197888 is about 3346.3245509066. The cubic root of 11197888 is about 223.7237240141.

The spelling of 11197888 in words is "eleven million, one hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 313 344 416 559 626 688 832 1118 1252 1376 2236 2504 2752 4069 4472 5008 8138 8944 10016 13459 16276 17888 20032 26918 32552 35776 53836 65104 107672 130208 174967 215344 260416 349934 430688 699868 861376 1399736 2799472 5598944 11197888