Search a number
-
+
11196880 = 245178233
BaseRepresentation
bin101010101101…
…100111010000
3210001212020021
4222231213100
510331300010
61035553224
7164112652
oct52554720
923055207
1011196880
116358422
1238bb814
132420596
1416b66d2
15eb28da
hexaad9d0

11196880 has 40 divisors (see below), whose sum is σ = 27567432. Its totient is φ = 4214784.

The previous prime is 11196869. The next prime is 11196881. The reversal of 11196880 is 8869111.

11196880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 10188864 = 1004^2 + 3192^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11196881) 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, 2757 + ... + 5476.

Almost surely, 211196880 is an apocalyptic number.

11196880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11196880 is an abundant number, since it is smaller than the sum of its proper divisors (16370552).

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

11196880 is a wasteful number, since it uses less digits than its factorization.

11196880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 11196880 is about 3346.1739345109. The cubic root of 11196880 is about 223.7170108350.

The spelling of 11196880 in words is "eleven million, one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 8233 16466 32932 41165 65864 82330 131728 139961 164660 279922 329320 559844 658640 699805 1119688 1399610 2239376 2799220 5598440 11196880