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21034200 = 23352113187
BaseRepresentation
bin101000000111…
…1010011011000
31110120122111110
41100033103120
520341043300
62030500320
7343534125
oct120172330
943518443
1021034200
1110967340
1270646a0
134486095
142b1774c
151ca7550
hex140f4d8

21034200 has 96 divisors (see below), whose sum is σ = 71156160. Its totient is φ = 5097600.

The previous prime is 21034199. The next prime is 21034201. The reversal of 21034200 is 243012.

It is an interprime number because it is at equal distance from previous prime (21034199) and next prime (21034201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21034201) 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 23 ways as a sum of consecutive naturals, for example, 5007 + ... + 8193.

It is an arithmetic number, because the mean of its divisors is an integer number (741210).

Almost surely, 221034200 is an apocalyptic number.

21034200 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 21034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35578080).

21034200 is an abundant number, since it is smaller than the sum of its proper divisors (50121960).

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

21034200 is a wasteful number, since it uses less digits than its factorization.

21034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21034200 is about 4586.3057028506. The cubic root of 21034200 is about 276.0421065774.

Adding to 21034200 its reverse (243012), we get a palindrome (21277212).

The spelling of 21034200 in words is "twenty-one million, thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3187 3300 6374 6600 9561 12748 15935 19122 25496 31870 35057 38244 47805 63740 70114 76488 79675 95610 105171 127480 140228 159350 175285 191220 210342 239025 280456 318700 350570 382440 420684 478050 525855 637400 701140 841368 876425 956100 1051710 1402280 1752850 1912200 2103420 2629275 3505700 4206840 5258550 7011400 10517100 21034200