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11197040 = 245672089
BaseRepresentation
bin101010101101…
…101001110000
3210001212110012
4222231221300
510331301130
61035554052
7164113301
oct52555160
923055405
1011197040
116358558
1238bb928
13242068a
1416b67a8
15eb2995
hexaada70

11197040 has 40 divisors (see below), whose sum is σ = 26434320. Its totient is φ = 4409856.

The previous prime is 11197037. The next prime is 11197063. The reversal of 11197040 is 4079111.

11197040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11196997 and 11197015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4316 + ... + 6404.

It is an arithmetic number, because the mean of its divisors is an integer number (660858).

Almost surely, 211197040 is an apocalyptic number.

11197040 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 11197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217160).

11197040 is an abundant number, since it is smaller than the sum of its proper divisors (15237280).

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

11197040 is a wasteful number, since it uses less digits than its factorization.

11197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 11197040 is about 3346.1978423279. The cubic root of 11197040 is about 223.7180764459.

The spelling of 11197040 in words is "eleven million, one hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2089 2680 4178 5360 8356 10445 16712 20890 33424 41780 83560 139963 167120 279926 559852 699815 1119704 1399630 2239408 2799260 5598520 11197040