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20705058 = 236111291
BaseRepresentation
bin100111011111…
…0111100100010
31102221221000000
41032332330202
520300030213
62015440430
7340663413
oct116767442
942857000
1020705058
1110762020
126b26116
13439c31a
142a6d80a
151c3ec73
hex13bef22

20705058 has 56 divisors (see below), whose sum is σ = 50837616. Its totient is φ = 6269400.

The previous prime is 20705053. The next prime is 20705071. The reversal of 20705058 is 85050702.

It is a happy number.

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 (20705053) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15393 + ... + 16683.

Almost surely, 220705058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20705058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418808).

20705058 is an abundant number, since it is smaller than the sum of its proper divisors (30132558).

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

20705058 is a wasteful number, since it uses less digits than its factorization.

20705058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 20705058 is about 4550.2810902185. The cubic root of 20705058 is about 274.5946999244.

It can be divided in two parts, 20 and 705058, that added together give a triangular number (705078 = T1187).

The spelling of 20705058 in words is "twenty million, seven hundred five thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1291 1458 1782 2582 2673 3873 5346 7746 8019 11619 14201 16038 23238 28402 34857 42603 69714 85206 104571 127809 209142 255618 313713 383427 627426 766854 941139 1150281 1882278 2300562 3450843 6901686 10352529 20705058