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20408058 = 23311174347
BaseRepresentation
bin100110111011…
…0011011111010
31102101211121000
41031312123322
520211024213
62005225430
7335315466
oct115663372
942354530
1020408058
1110579970
126a02276
1342c7098
1429d34a6
151bd1c73
hex13766fa

20408058 has 128 divisors (see below), whose sum is σ = 54743040. Its totient is φ = 5564160.

The previous prime is 20408051. The next prime is 20408077. The reversal of 20408058 is 85080402.

It is a super-3 number, since 3×204080583 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20408051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434191 + ... + 434237.

It is an arithmetic number, because the mean of its divisors is an integer number (427680).

Almost surely, 220408058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20408058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371520).

20408058 is an abundant number, since it is smaller than the sum of its proper divisors (34334982).

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

20408058 is a wasteful number, since it uses less digits than its factorization.

20408058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20408058 is about 4517.5278637768. The cubic root of 20408058 is about 273.2754134001.

The spelling of 20408058 in words is "twenty million, four hundred eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 43 47 51 54 66 86 94 99 102 129 141 153 187 198 258 282 297 306 374 387 423 459 473 517 561 594 731 774 799 846 918 946 1034 1122 1161 1269 1419 1462 1551 1598 1683 2021 2193 2322 2397 2538 2838 3102 3366 4042 4257 4386 4653 4794 5049 6063 6579 7191 8041 8514 8789 9306 10098 12126 12771 13158 13959 14382 16082 17578 18189 19737 21573 22231 24123 25542 26367 27918 34357 36378 39474 43146 44462 48246 52734 54567 66693 68714 72369 79101 103071 109134 133386 144738 158202 200079 206142 217107 237303 309213 377927 400158 434214 474606 600237 618426 755854 927639 1133781 1200474 1855278 2267562 3401343 6802686 10204029 20408058