Search a number
-
+
11856816 = 243282339
BaseRepresentation
bin101101001110…
…101110110000
3211022101111100
4231032232300
511013404231
61102044400
7202531656
oct55165660
924271440
1011856816
116769224
123b79700
1325c1a8a
141808dd6
1510931e6
hexb4ebb0

11856816 has 30 divisors (see below), whose sum is σ = 33183020. Its totient is φ = 3952224.

The previous prime is 11856811. The next prime is 11856821. The reversal of 11856816 is 61865811.

It is an interprime number because it is at equal distance from previous prime (11856811) and next prime (11856821).

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

It is not an unprimeable number, because it can be changed into a prime (11856811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41026 + ... + 41313.

Almost surely, 211856816 is an apocalyptic number.

11856816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11856816 is an abundant number, since it is smaller than the sum of its proper divisors (21326204).

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

11856816 is a wasteful number, since it uses less digits than its factorization.

11856816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82353 (or 82344 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11856816 is about 3443.3727651824. The cubic root of 11856816 is about 228.0286205992.

It can be divided in two parts, 1185 and 6816, that added together give a triangular number (8001 = T126).

The spelling of 11856816 in words is "eleven million, eight hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 82339 164678 247017 329356 494034 658712 741051 988068 1317424 1482102 1976136 2964204 3952272 5928408 11856816