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11801216 = 27713171
BaseRepresentation
bin101101000001…
…001010000000
3211012120020002
4231001022000
511010114331
61100535132
7202210610
oct55011200
924176202
1011801216
116730479
123b514a8
1325a268b
1417d2a40
1510819cb
hexb41280

11801216 has 32 divisors (see below), whose sum is σ = 26870880. Its totient is φ = 5057280.

The previous prime is 11801201. The next prime is 11801227. The reversal of 11801216 is 61210811.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5690 + ... + 7481.

It is an arithmetic number, because the mean of its divisors is an integer number (839715).

Almost surely, 211801216 is an apocalyptic number.

11801216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11801216 is an abundant number, since it is smaller than the sum of its proper divisors (15069664).

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

11801216 is an equidigital number, since it uses as much as digits as its factorization.

11801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 11801216 is about 3435.2897985468. The cubic root of 11801216 is about 227.6716315439.

The spelling of 11801216 in words is "eleven million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 13171 26342 52684 92197 105368 184394 210736 368788 421472 737576 842944 1475152 1685888 2950304 5900608 11801216