Search a number
-
+
21676700 = 22521741311
BaseRepresentation
bin101001010110…
…0001010011100
31111210021211202
41102230022130
521022123300
62052335032
7352151243
oct122541234
944707752
1021676700
1111266031
127314478
13464c666
142c4395a
151d82ad5
hex14ac29c

21676700 has 72 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 7936000.

The previous prime is 21676691. The next prime is 21676703. The reversal of 21676700 is 767612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21676703) 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 23 ways as a sum of consecutive naturals, for example, 69545 + ... + 69855.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 221676700 is an apocalyptic number.

21676700 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 21676700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

21676700 is an abundant number, since it is smaller than the sum of its proper divisors (29507524).

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

21676700 is a wasteful number, since it uses less digits than its factorization.

21676700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 21676700 is about 4655.8243094000. The cubic root of 21676700 is about 278.8245793729.

The spelling of 21676700 in words is "twenty-one million, six hundred seventy-six thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 311 340 410 425 622 697 820 850 1025 1244 1394 1555 1700 2050 2788 3110 3485 4100 5287 6220 6970 7775 10574 12751 13940 15550 17425 21148 25502 26435 31100 34850 51004 52870 63755 69700 105740 127510 132175 216767 255020 264350 318775 433534 528700 637550 867068 1083835 1275100 2167670 4335340 5419175 10838350 21676700