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20628990 = 23251797139
BaseRepresentation
bin100111010110…
…0010111111110
31102211001122200
41032230113332
520240111430
62014052330
7340225554
oct116542776
942731580
1020628990
111070a958
126aaa0a6
134373805
142a4dbd4
151c27460
hex13ac5fe

20628990 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5087232.

The previous prime is 20628983. The next prime is 20629019. The reversal of 20628990 is 9982602.

20628990 is a `hidden beast` number, since 20 + 628 + 9 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148341 + ... + 148479.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 220628990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20628990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

20628990 is an abundant number, since it is smaller than the sum of its proper divisors (37159650).

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

20628990 is a wasteful number, since it uses less digits than its factorization.

20628990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20628990 is about 4541.9147944452. The cubic root of 20628990 is about 274.2580108274.

The spelling of 20628990 in words is "twenty million, six hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 139 153 170 194 255 278 291 306 417 485 510 582 695 765 834 873 970 1251 1390 1455 1530 1649 1746 2085 2363 2502 2910 3298 4170 4365 4726 4947 6255 7089 8245 8730 9894 11815 12510 13483 14178 14841 16490 21267 23630 24735 26966 29682 35445 40449 42534 49470 67415 70890 74205 80898 106335 121347 134830 148410 202245 212670 229211 242694 404490 458422 606735 687633 1146055 1213470 1375266 2062899 2292110 3438165 4125798 6876330 10314495 20628990