Search a number
-
+
11609680 = 245145121
BaseRepresentation
bin101100010010…
…011001010000
3210211211111011
4230102121100
510433002210
61052500304
7200452315
oct54223120
923754434
1011609680
11660a585
123a7a694
132536444
141782d0c
151044d8a
hexb12650

11609680 has 20 divisors (see below), whose sum is σ = 26992692. Its totient is φ = 4643840.

The previous prime is 11609677. The next prime is 11609681. The reversal of 11609680 is 8690611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 9024016 = 1608^2 + 3004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11609681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72481 + ... + 72640.

Almost surely, 211609680 is an apocalyptic number.

11609680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11609680 is an abundant number, since it is smaller than the sum of its proper divisors (15383012).

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

11609680 is a wasteful number, since it uses less digits than its factorization.

11609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145134 (or 145128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 11609680 is about 3407.2980497749. The cubic root of 11609680 is about 226.4331890395.

The spelling of 11609680 in words is "eleven million, six hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 145121 290242 580484 725605 1160968 1451210 2321936 2902420 5804840 11609680