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21393900 = 223252112161
BaseRepresentation
bin101000110011…
…1000111101100
31111020220220200
41101213013230
520434101100
62042313500
7346562613
oct121470754
944226820
1021393900
1111092610
1271b8890
134580a18
142bac87a
151d28e00
hex14671ec

21393900 has 108 divisors (see below), whose sum is σ = 73188024. Its totient is φ = 5184000.

The previous prime is 21393899. The next prime is 21393917. The reversal of 21393900 is 939312.

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 35 ways as a sum of consecutive naturals, for example, 8820 + ... + 10980.

Almost surely, 221393900 is an apocalyptic number.

21393900 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 21393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594012).

21393900 is an abundant number, since it is smaller than the sum of its proper divisors (51794124).

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

21393900 is a wasteful number, since it uses less digits than its factorization.

21393900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 21393900 is about 4625.3540405033. The cubic root of 21393900 is about 277.6067278778.

The spelling of 21393900 in words is "twenty-one million, three hundred ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2161 2475 3300 4322 4950 6483 8644 9900 10805 12966 19449 21610 23771 25932 32415 38898 43220 47542 54025 64830 71313 77796 95084 97245 108050 118855 129660 142626 162075 194490 213939 216100 237710 285252 324150 356565 388980 427878 475420 486225 594275 648300 713130 855756 972450 1069695 1188550 1426260 1782825 1944900 2139390 2377100 3565650 4278780 5348475 7131300 10696950 21393900