Search a number
-
+
11196864 = 263272777
BaseRepresentation
bin101010101101…
…100111000000
3210001212012200
4222231213000
510331244424
61035553200
7164112630
oct52554700
923055180
1011196864
116358408
1238bb800
132420583
1416b66c0
15eb28c9
hexaad9c0

11196864 has 84 divisors (see below), whose sum is σ = 36691824. Its totient is φ = 3197952.

The previous prime is 11196853. The next prime is 11196869. The reversal of 11196864 is 46869111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11196869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2644 + ... + 5420.

Almost surely, 211196864 is an apocalyptic number.

11196864 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 11196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345912).

11196864 is an abundant number, since it is smaller than the sum of its proper divisors (25494960).

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

11196864 is a wasteful number, since it uses less digits than its factorization.

11196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2789 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11196864 is about 3346.1715437198. The cubic root of 11196864 is about 223.7169042734.

It can be divided in two parts, 1119686 and 4, that multiplied together give a palindrome (4478744).

The spelling of 11196864 in words is "eleven million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2777 4032 5554 8331 11108 16662 19439 22216 24993 33324 38878 44432 49986 58317 66648 77756 88864 99972 116634 133296 155512 174951 177728 199944 233268 266592 311024 349902 399888 466536 533184 622048 699804 799776 933072 1244096 1399608 1599552 1866144 2799216 3732288 5598432 11196864