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21412300 = 22527132181
BaseRepresentation
bin101000110101…
…1100111001100
31111021212011011
41101223213030
520440143200
62042535004
7350000350
oct121534714
944255134
1021412300
11110a5418
127207464
134589200
142bb5460
151d2e5ba
hex146b9cc

21412300 has 108 divisors (see below), whose sum is σ = 57819216. Its totient is φ = 6739200.

The previous prime is 21412277. The next prime is 21412301. The reversal of 21412300 is 321412.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21412301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 118210 + ... + 118390.

Almost surely, 221412300 is an apocalyptic number.

21412300 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 21412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28909608).

21412300 is an abundant number, since it is smaller than the sum of its proper divisors (36406916).

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

21412300 is a wasteful number, since it uses less digits than its factorization.

21412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21412300 is about 4627.3426499450. The cubic root of 21412300 is about 277.6862910571.

Adding to 21412300 its reverse (321412), we get a palindrome (21733712).

It can be divided in two parts, 21412 and 300, that added together give a palindrome (21712).

The spelling of 21412300 in words is "twenty-one million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 181 182 260 325 338 350 362 364 455 650 676 700 724 845 905 910 1183 1267 1300 1690 1810 1820 2275 2353 2366 2534 3380 3620 4225 4525 4550 4706 4732 5068 5915 6335 8450 9050 9100 9412 11765 11830 12670 16471 16900 18100 23530 23660 25340 29575 30589 31675 32942 47060 58825 59150 61178 63350 65884 82355 117650 118300 122356 126700 152945 164710 214123 235300 305890 329420 411775 428246 611780 764725 823550 856492 1070615 1529450 1647100 2141230 3058900 4282460 5353075 10706150 21412300