Search a number
-
+
11197144 = 237792531
BaseRepresentation
bin101010101101…
…101011011000
3210001212121001
4222231223120
510331302034
61035554344
7164113510
oct52555330
923055531
1011197144
116358642
1238bb9b4
13242073a
1416b6840
15eb2a14
hexaadad8

11197144 has 32 divisors (see below), whose sum is σ = 24307200. Its totient is φ = 4736160.

The previous prime is 11197129. The next prime is 11197181. The reversal of 11197144 is 44179111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3159 + ... + 5689.

It is an arithmetic number, because the mean of its divisors is an integer number (759600).

Almost surely, 211197144 is an apocalyptic number.

11197144 is a gapful number since it is divisible by the number (14) 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 11197144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153600).

11197144 is an abundant number, since it is smaller than the sum of its proper divisors (13110056).

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

11197144 is a wasteful number, since it uses less digits than its factorization.

11197144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2619 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 11197144 is about 3346.2133823174. The cubic root of 11197144 is about 223.7187690875.

The spelling of 11197144 in words is "eleven million, one hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 2531 4424 5062 10124 17717 20248 35434 70868 141736 199949 399898 799796 1399643 1599592 2799286 5598572 11197144