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20432790 = 2335719569
BaseRepresentation
bin100110111110…
…0011110010110
31102110002112000
41031330132112
520212322130
62005540130
7335450550
oct115743626
942402460
1020432790
1110596504
126a14646
134305411
1429dc4d0
151bd9260
hex137c796

20432790 has 128 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 4416768.

The previous prime is 20432767. The next prime is 20432803. The reversal of 20432790 is 9723402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35626 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 220432790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20432790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

20432790 is an abundant number, since it is smaller than the sum of its proper divisors (45231210).

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

20432790 is a wasteful number, since it uses less digits than its factorization.

20432790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20432790 is about 4520.2643727994. The cubic root of 20432790 is about 273.3857606487.

The spelling of 20432790 in words is "twenty million, four hundred thirty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 569 570 630 665 798 855 945 1026 1138 1197 1330 1707 1710 1890 1995 2394 2565 2845 3414 3591 3983 3990 5121 5130 5690 5985 7182 7966 8535 10242 10811 11949 11970 15363 17070 17955 19915 21622 23898 25605 30726 32433 35847 35910 39830 51210 54055 59745 64866 71694 75677 76815 97299 107541 108110 119490 151354 153630 162165 179235 194598 215082 227031 291897 324330 358470 378385 454062 486495 537705 583794 681093 756770 972990 1075410 1135155 1362186 1459485 2043279 2270310 2918970 3405465 4086558 6810930 10216395 20432790