Search a number
-
+
11704608 = 2533192331
BaseRepresentation
bin101100101001…
…100100100000
3211000122201000
4230221210200
510444021413
61054512000
7201326136
oct54514440
924018630
1011704608
116674933
123b05600
13256a706
1417a9756
151063073
hexb29920

11704608 has 192 divisors, whose sum is σ = 38707200. Its totient is φ = 3421440.

The previous prime is 11704607. The next prime is 11704613. The reversal of 11704608 is 80640711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11704607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377553 + ... + 377583.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 211704608 is an apocalyptic number.

11704608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11704608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11704608 is an abundant number, since it is smaller than the sum of its proper divisors (27002592).

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

11704608 is a wasteful number, since it uses less digits than its factorization.

11704608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11704608 is about 3421.1997895475. The cubic root of 11704608 is about 227.0486676558.

It can be divided in two parts, 1170 and 4608, that added together give a triangular number (5778 = T107).

The spelling of 11704608 in words is "eleven million, seven hundred four thousand, six hundred eight".