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21413000 = 2353721923
BaseRepresentation
bin101000110101…
…1110010001000
31111021220010002
41101223302020
520440204000
62042542132
7350002400
oct121536210
944256102
1021413000
11110a59a4
127207948
13458961b
142bb5800
151d2e8d5
hex146bc88

21413000 has 192 divisors, whose sum is σ = 64022400. Its totient is φ = 6652800.

The previous prime is 21412987. The next prime is 21413003. The reversal of 21413000 is 31412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21413003) 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 47 ways as a sum of consecutive naturals, for example, 930989 + ... + 931011.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 221413000 is an apocalyptic number.

21413000 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 21413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011200).

21413000 is an abundant number, since it is smaller than the sum of its proper divisors (42609400).

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

21413000 is a wasteful number, since it uses less digits than its factorization.

21413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21413000 is about 4627.4182866908. The cubic root of 21413000 is about 277.6893170171.

Adding to 21413000 its reverse (31412), we get a palindrome (21444412).

The spelling of 21413000 in words is "twenty-one million, four hundred thirteen thousand".