Search a number
-
+
11721888 = 253313567
BaseRepresentation
bin101100101101…
…110010100000
3211001112102000
4230231302200
511000100023
61055124000
7201430413
oct54556240
924045360
1011721888
116686912
123b13600
132575539
1417b1b7a
151068243
hexb2dca0

11721888 has 48 divisors (see below), whose sum is σ = 34191360. Its totient is φ = 3907008.

The previous prime is 11721883. The next prime is 11721889. The reversal of 11721888 is 88812711.

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 not an unprimeable number, because it can be changed into a prime (11721883) by changing a digit.

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, 5920 + ... + 7647.

It is an arithmetic number, because the mean of its divisors is an integer number (712320).

Almost surely, 211721888 is an apocalyptic number.

11721888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11721888 is an abundant number, since it is smaller than the sum of its proper divisors (22469472).

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

11721888 is a wasteful number, since it uses less digits than its factorization.

11721888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13572 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 11721888 is about 3423.7242879648. The cubic root of 11721888 is about 227.1603465148.

The spelling of 11721888 in words is "eleven million, seven hundred twenty-one thousand, eight hundred eighty-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 13567 27134 40701 54268 81402 108536 122103 162804 217072 244206 325608 366309 434144 488412 651216 732618 976824 1302432 1465236 1953648 2930472 3907296 5860944 11721888