Search a number
-
+
11773728 = 253313627
BaseRepresentation
bin101100111010…
…011100100000
3211011011112000
4230322130200
511003224403
61100204000
7202034511
oct54723440
924134460
1011773728
11671185a
123b39600
132593005
1417c6a08
1510787a3
hexb3a720

11773728 has 48 divisors (see below), whose sum is σ = 34342560. Its totient is φ = 3924288.

The previous prime is 11773693. The next prime is 11773747. The reversal of 11773728 is 82737711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 11773692 and 11773701.

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 7 ways as a sum of consecutive naturals, for example, 5950 + ... + 7677.

It is an arithmetic number, because the mean of its divisors is an integer number (715470).

Almost surely, 211773728 is an apocalyptic number.

11773728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11773728 is an abundant number, since it is smaller than the sum of its proper divisors (22568832).

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

11773728 is a wasteful number, since it uses less digits than its factorization.

11773728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13632 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 11773728 is about 3431.2866391486. The cubic root of 11773728 is about 227.4947259575.

The spelling of 11773728 in words is "eleven million, seven hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13627 27254 40881 54508 81762 109016 122643 163524 218032 245286 327048 367929 436064 490572 654096 735858 981144 1308192 1471716 1962288 2943432 3924576 5886864 11773728