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21161680 = 245833187
BaseRepresentation
bin101000010111…
…0011011010000
31110211010100221
41100232123100
520404133210
62033322424
7344604601
oct120563320
943733327
1021161680
1110a440a1
127106414
1344cc107
142b4bda8
151cd01da
hex142e6d0

21161680 has 40 divisors (see below), whose sum is σ = 49809312. Its totient is φ = 8360064.

The previous prime is 21161671. The next prime is 21161683. The reversal of 21161680 is 8616112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21161683) 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, 5047 + ... + 8233.

Almost surely, 221161680 is an apocalyptic number.

21161680 is a gapful number since it is divisible by the number (20) 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 21161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904656).

21161680 is an abundant number, since it is smaller than the sum of its proper divisors (28647632).

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

21161680 is a wasteful number, since it uses less digits than its factorization.

21161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21161680 is about 4600.1826050712. The cubic root of 21161680 is about 276.5986445892.

Adding to 21161680 its reverse (8616112), we get a palindrome (29777792).

The spelling of 21161680 in words is "twenty-one million, one hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3187 3320 6374 6640 12748 15935 25496 31870 50992 63740 127480 254960 264521 529042 1058084 1322605 2116168 2645210 4232336 5290420 10580840 21161680