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11195856 = 2432729383
BaseRepresentation
bin101010101101…
…010111010000
3210001210211100
4222231113100
510331231411
61035544400
7164106660
oct52552720
923053740
1011195856
116357681
1238bb100
13241cc89
1416b61a0
15eb2456
hexaad5d0

11195856 has 120 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3080448.

The previous prime is 11195839. The next prime is 11195857. The reversal of 11195856 is 65859111.

11195856 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11195856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11195857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29041 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (309504).

Almost surely, 211195856 is an apocalyptic number.

11195856 is a gapful number since it is divisible by the number (16) 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 11195856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

11195856 is an abundant number, since it is smaller than the sum of its proper divisors (25944624).

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

11195856 is a wasteful number, since it uses less digits than its factorization.

11195856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The square root of 11195856 is about 3346.0209204367. The cubic root of 11195856 is about 223.7101906850.

The spelling of 11195856 in words is "eleven million, one hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 383 406 464 504 522 609 696 766 812 1008 1044 1149 1218 1392 1532 1624 1827 2088 2298 2436 2681 3064 3248 3447 3654 4176 4596 4872 5362 6128 6894 7308 8043 9192 9744 10724 11107 13788 14616 16086 18384 21448 22214 24129 27576 29232 32172 33321 42896 44428 48258 55152 64344 66642 77749 88856 96516 99963 128688 133284 155498 177712 193032 199926 233247 266568 310996 386064 399852 466494 533136 621992 699741 799704 932988 1243984 1399482 1599408 1865976 2798964 3731952 5597928 11195856