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20080242 = 23271322341
BaseRepresentation
bin100110010011…
…0011001110010
31101210011220200
41030212121302
520120031432
61554220030
7332451660
oct114463162
941704820
1020080242
1110375646
126884616
134210b00
142949c30
151b69a7c
hex1326672

20080242 has 144 divisors (see below), whose sum is σ = 57552768. Its totient is φ = 4942080.

The previous prime is 20080231. The next prime is 20080243. The reversal of 20080242 is 24208002.

It is a super-2 number, since 2×200802422 = 806432237557128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20080243) 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, 489742 + ... + 489782.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 220080242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20080242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776384).

20080242 is an abundant number, since it is smaller than the sum of its proper divisors (37472526).

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

20080242 is a wasteful number, since it uses less digits than its factorization.

20080242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20080242 is about 4481.0983028717. The cubic root of 20080242 is about 271.8042944157.

Adding to 20080242 its reverse (24208002), we get a palindrome (44288244).

The spelling of 20080242 in words is "twenty million, eighty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 41 42 46 63 69 78 82 91 117 123 126 138 161 169 182 207 234 246 273 287 299 322 338 369 414 483 507 533 546 574 598 738 819 861 897 943 966 1014 1066 1183 1449 1521 1599 1638 1722 1794 1886 2093 2366 2583 2691 2829 2898 3042 3198 3549 3731 3887 4186 4797 5166 5382 5658 6279 6601 6929 7098 7462 7774 8487 9594 10647 11193 11661 12259 12558 13202 13858 16974 18837 19803 20787 21294 22386 23322 24518 27209 33579 34983 36777 37674 39606 41574 48503 54418 59409 62361 67158 69966 73554 81627 85813 97006 110331 118818 124722 145509 159367 163254 171626 220662 244881 257439 291018 318734 436527 478101 489762 514878 772317 873054 956202 1115569 1434303 1544634 2231138 2868606 3346707 6693414 10040121 20080242