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12181896 = 2332712383
BaseRepresentation
bin101110011110…
…000110001000
3211220220102100
4232132012020
511104310041
61113033400
7205354506
oct56360610
924826370
1012181896
116970491
1240b5860
1326a6a2c
141891676
1511096b6
hexb9e188

12181896 has 48 divisors (see below), whose sum is σ = 33471360. Its totient is φ = 4001760.

The previous prime is 12181867. The next prime is 12181909. The reversal of 12181896 is 69818121.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12181896.

It is an unprimeable number.

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, 3921 + ... + 6303.

It is an arithmetic number, because the mean of its divisors is an integer number (697320).

Almost surely, 212181896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12181896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735680).

12181896 is an abundant number, since it is smaller than the sum of its proper divisors (21289464).

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

12181896 is a wasteful number, since it uses less digits than its factorization.

12181896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2459 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12181896 is about 3490.2572971058. The cubic root of 12181896 is about 230.0938243547.

The spelling of 12181896 in words is "twelve million, one hundred eighty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2383 2556 4766 5112 7149 9532 14298 19064 21447 28596 42894 57192 85788 169193 171576 338386 507579 676772 1015158 1353544 1522737 2030316 3045474 4060632 6090948 12181896