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21410200 = 2352741373
BaseRepresentation
bin101000110101…
…1000110011000
31111021202021101
41101223012120
520440111300
62042521144
7346661260
oct121530630
944252241
1021410200
11110a3889
1272061b4
134588276
142bb47a0
151d2db6a
hex146b198

21410200 has 96 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 7142400.

The previous prime is 21410189. The next prime is 21410219. The reversal of 21410200 is 201412.

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

It is a congruent number.

It is an unprimeable number.

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, 57214 + ... + 57586.

It is an arithmetic number, because the mean of its divisors is an integer number (608685).

Almost surely, 221410200 is an apocalyptic number.

21410200 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 21410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

21410200 is an abundant number, since it is smaller than the sum of its proper divisors (37023560).

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

21410200 is a wasteful number, since it uses less digits than its factorization.

21410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

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

The square root of 21410200 is about 4627.1157322894. The cubic root of 21410200 is about 277.6772127816.

Adding to 21410200 its reverse (201412), we get a palindrome (21611612).

The spelling of 21410200 in words is "twenty-one million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 373 410 574 700 746 820 1025 1148 1400 1435 1492 1640 1865 2050 2296 2611 2870 2984 3730 4100 5222 5740 7175 7460 8200 9325 10444 11480 13055 14350 14920 15293 18650 20888 26110 28700 30586 37300 52220 57400 61172 65275 74600 76465 104440 107051 122344 130550 152930 214102 261100 305860 382325 428204 522200 535255 611720 764650 856408 1070510 1529300 2141020 2676275 3058600 4282040 5352550 10705100 21410200