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20398950 = 232521113317
BaseRepresentation
bin100110111010…
…0001101100110
31102101101002200
41031310031212
520210231300
62005115330
7335250105
oct115641546
942341080
1020398950
1110573040
1269b8b46
1342c2bb0
1429d003c
151bce200
hex1374366

20398950 has 144 divisors (see below), whose sum is σ = 64589616. Its totient is φ = 4550400.

The previous prime is 20398921. The next prime is 20398967. The reversal of 20398950 is 5989302.

It is a super-2 number, since 2×203989502 = 832234322205000, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 64192 + ... + 64508.

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

Almost surely, 220398950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20398950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32294808).

20398950 is an abundant number, since it is smaller than the sum of its proper divisors (44190666).

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

20398950 is a wasteful number, since it uses less digits than its factorization.

20398950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

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

The square root of 20398950 is about 4516.5196778050. The cubic root of 20398950 is about 273.2347535974.

The spelling of 20398950 in words is "twenty million, three hundred ninety-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 317 325 330 390 429 450 495 550 585 634 650 715 825 858 951 975 990 1170 1287 1430 1585 1650 1902 1950 2145 2475 2574 2853 2925 3170 3487 3575 4121 4290 4755 4950 5706 5850 6435 6974 7150 7925 8242 9510 10461 10725 12363 12870 14265 15850 17435 20605 20922 21450 23775 24726 28530 31383 32175 34870 37089 41210 45331 47550 52305 61815 62766 64350 71325 74178 87175 90662 103025 104610 123630 135993 142650 156915 174350 185445 206050 226655 261525 271986 309075 313830 370890 407979 453310 523050 618150 679965 784575 815958 927225 1133275 1359930 1569150 1854450 2039895 2266550 3399825 4079790 6799650 10199475 20398950