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21388950 = 232521129149
BaseRepresentation
bin101000110010…
…1111010010110
31111020200010100
41101211322112
520433421300
62042234530
7346542312
oct121457226
944220110
1021388950
1111089920
1271b5a46
13457b6ab
142baab42
151d27700
hex1465e96

21388950 has 144 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 4972800.

The previous prime is 21388949. The next prime is 21388957. The reversal of 21388950 is 5988312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21388957) 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 71 ways as a sum of consecutive naturals, for example, 143476 + ... + 143624.

It is an arithmetic number, because the mean of its divisors is an integer number (453375).

Almost surely, 221388950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21388950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

21388950 is an abundant number, since it is smaller than the sum of its proper divisors (43897050).

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

21388950 is a wasteful number, since it uses less digits than its factorization.

21388950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 21388950 is about 4624.8189153739. The cubic root of 21388950 is about 277.5853158663.

The spelling of 21388950 in words is "twenty-one million, three hundred eighty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 29 30 33 45 50 55 58 66 75 87 90 99 110 145 149 150 165 174 198 225 261 275 290 298 319 330 435 447 450 495 522 550 638 725 745 825 870 894 957 990 1305 1341 1450 1490 1595 1639 1650 1914 2175 2235 2475 2610 2682 2871 3190 3278 3725 4321 4350 4470 4785 4917 4950 5742 6525 6705 7450 7975 8195 8642 9570 9834 11175 12963 13050 13410 14355 14751 15950 16390 21605 22350 23925 24585 25926 28710 29502 33525 38889 40975 43210 47531 47850 49170 64815 67050 71775 73755 77778 81950 95062 108025 122925 129630 142593 143550 147510 194445 216050 237655 245850 285186 324075 368775 388890 427779 475310 648150 712965 737550 855558 972225 1188275 1425930 1944450 2138895 2376550 3564825 4277790 7129650 10694475 21388950