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21363900 = 22352175971
BaseRepresentation
bin101000101111…
…1110010111100
31111012101202120
41101133302330
520432121100
62041522540
7346406265
oct121376274
944171676
1021363900
1111072018
1271a3450
13457017c
142ba196c
151d200a0
hex145fcbc

21363900 has 144 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5196800.

The previous prime is 21363899. The next prime is 21363907. The reversal of 21363900 is 936312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21363907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300865 + ... + 300935.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 221363900 is an apocalyptic number.

21363900 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 21363900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

21363900 is an abundant number, since it is smaller than the sum of its proper divisors (46131780).

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

21363900 is a wasteful number, since it uses less digits than its factorization.

21363900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 21363900 is about 4622.1099078235. The cubic root of 21363900 is about 277.4769074201.

The spelling of 21363900 in words is "twenty-one million, three hundred sixty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 59 60 68 71 75 85 100 102 118 142 150 170 177 204 213 236 255 284 295 300 340 354 355 425 426 510 590 708 710 850 852 885 1003 1020 1065 1180 1207 1275 1420 1475 1700 1770 1775 2006 2130 2414 2550 2950 3009 3540 3550 3621 4012 4189 4260 4425 4828 5015 5100 5325 5900 6018 6035 7100 7242 8378 8850 10030 10650 12036 12070 12567 14484 15045 16756 17700 18105 20060 20945 21300 24140 25075 25134 30090 30175 36210 41890 50150 50268 60180 60350 62835 71213 72420 75225 83780 90525 100300 104725 120700 125670 142426 150450 181050 209450 213639 251340 284852 300900 314175 356065 362100 418900 427278 628350 712130 854556 1068195 1256700 1424260 1780325 2136390 3560650 4272780 5340975 7121300 10681950 21363900