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21140000 = 25547151
BaseRepresentation
bin101000010100…
…1001000100000
31110210000121222
41100221020200
520402440000
62033034212
7344454440
oct120511040
943700558
1021140000
1110a29882
1270b5968
1344c229b
142b44120
151cc8a85
hex1429220

21140000 has 120 divisors (see below), whose sum is σ = 59830848. Its totient is φ = 7200000.

The previous prime is 21139999. The next prime is 21140003. The reversal of 21140000 is 4112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21140000.

It is not an unprimeable number, because it can be changed into a prime (21140003) 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 19 ways as a sum of consecutive naturals, for example, 139925 + ... + 140075.

Almost surely, 221140000 is an apocalyptic number.

21140000 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 21140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29915424).

21140000 is an abundant number, since it is smaller than the sum of its proper divisors (38690848).

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

21140000 is an equidigital number, since it uses as much as digits as its factorization.

21140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

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

The square root of 21140000 is about 4597.8255730291. The cubic root of 21140000 is about 276.5041544916.

Adding to 21140000 its reverse (4112), we get a palindrome (21144112).

The spelling of 21140000 in words is "twenty-one million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 151 160 175 200 224 250 280 302 350 400 500 560 604 625 700 755 800 875 1000 1057 1120 1208 1250 1400 1510 1750 2000 2114 2416 2500 2800 3020 3500 3775 4000 4228 4375 4832 5000 5285 5600 6040 7000 7550 8456 8750 10000 10570 12080 14000 15100 16912 17500 18875 20000 21140 24160 26425 28000 30200 33824 35000 37750 42280 52850 60400 70000 75500 84560 94375 105700 120800 132125 140000 151000 169120 188750 211400 264250 302000 377500 422800 528500 604000 660625 755000 845600 1057000 1321250 1510000 2114000 2642500 3020000 4228000 5285000 10570000 21140000