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21040000 = 2754263
BaseRepresentation
bin101000001000…
…0101110000000
31110120221110021
41100100232000
520341240000
62030543224
7343560052
oct120205600
943527407
1021040000
1110970733
127067b14
134488907
142b198d2
151ca911a
hex1410b80

21040000 has 80 divisors (see below), whose sum is σ = 52576920. Its totient is φ = 8384000.

The previous prime is 21039989. The next prime is 21040001. The reversal of 21040000 is 4012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79869 + ... + 80131.

Almost surely, 221040000 is an apocalyptic number.

21040000 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 21040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26288460).

21040000 is an abundant number, since it is smaller than the sum of its proper divisors (31536920).

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

21040000 is an frugal number, since it uses more digits than its factorization.

21040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 21040000 is about 4586.9379764719. The cubic root of 21040000 is about 276.0674763257.

Adding to 21040000 its reverse (4012), we get a palindrome (21044012).

The spelling of 21040000 in words is "twenty-one million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 263 320 400 500 526 625 640 800 1000 1052 1250 1315 1600 2000 2104 2500 2630 3200 4000 4208 5000 5260 6575 8000 8416 10000 10520 13150 16000 16832 20000 21040 26300 32875 33664 40000 42080 52600 65750 80000 84160 105200 131500 164375 168320 210400 263000 328750 420800 526000 657500 841600 1052000 1315000 2104000 2630000 4208000 5260000 10520000 21040000