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21421000 = 235331691
BaseRepresentation
bin101000110110…
…1101111001000
31111022022002101
41101231233020
520440433000
62043043144
7350034616
oct121555710
944268071
1021421000
1111100a07
1272104b4
134590163
142bb86b6
151d31e6a
hex146dbc8

21421000 has 64 divisors (see below), whose sum is σ = 51816960. Its totient is φ = 8280000.

The previous prime is 21420991. The next prime is 21421051. The reversal of 21421000 is 12412.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30655 + ... + 31345.

It is an arithmetic number, because the mean of its divisors is an integer number (809640).

Almost surely, 221421000 is an apocalyptic number.

21421000 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 21421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908480).

21421000 is an abundant number, since it is smaller than the sum of its proper divisors (30395960).

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

21421000 is a wasteful number, since it uses less digits than its factorization.

21421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 21421000 is about 4628.2826188555. The cubic root of 21421000 is about 277.7238947337.

Adding to 21421000 its reverse (12412), we get a palindrome (21433412).

The spelling of 21421000 in words is "twenty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 691 775 1000 1240 1382 1550 2764 3100 3455 3875 5528 6200 6910 7750 13820 15500 17275 21421 27640 31000 34550 42842 69100 85684 86375 107105 138200 171368 172750 214210 345500 428420 535525 691000 856840 1071050 2142100 2677625 4284200 5355250 10710500 21421000