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20983950 = 232521317211
BaseRepresentation
bin101000000001…
…1000010001110
31110111002120100
41100003002032
520332441300
62025431530
7343234461
oct120030216
943432510
1020983950
1110932609
12703b5a6
134469250
142b032d8
151c97700
hex140308e

20983950 has 144 divisors (see below), whose sum is σ = 64589616. Its totient is φ = 4838400.

The previous prime is 20983927. The next prime is 20983951. The reversal of 20983950 is 5938902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20983951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99345 + ... + 99555.

It is an arithmetic number, because the mean of its divisors is an integer number (448539).

Almost surely, 220983950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20983950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32294808).

20983950 is an abundant number, since it is smaller than the sum of its proper divisors (43605666).

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

20983950 is a wasteful number, since it uses less digits than its factorization.

20983950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20983950 is about 4580.8241616548. The cubic root of 20983950 is about 275.8221128463.

The spelling of 20983950 in words is "twenty million, nine hundred eighty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 211 221 225 234 255 306 325 390 422 425 442 450 510 585 633 650 663 765 850 975 1055 1105 1170 1266 1275 1326 1530 1899 1950 1989 2110 2210 2550 2743 2925 3165 3315 3587 3798 3825 3978 5275 5486 5525 5850 6330 6630 7174 7650 8229 9495 9945 10550 10761 11050 13715 15825 16458 16575 17935 18990 19890 21522 24687 27430 31650 32283 33150 35870 41145 46631 47475 49374 49725 53805 64566 68575 82290 89675 93262 94950 99450 107610 123435 137150 139893 161415 179350 205725 233155 246870 269025 279786 322830 411450 419679 466310 538050 617175 699465 807075 839358 1165775 1234350 1398930 1614150 2098395 2331550 3497325 4196790 6994650 10491975 20983950