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20139588 = 223274233
BaseRepresentation
bin100110011010…
…0111001000100
31101220012022200
41030310321010
520123431323
61555354500
7333120000
oct114647104
941805280
1020139588
1110406197
1268b2a30
134231b21
142963700
151b7c443
hex1334e44

20139588 has 90 divisors (see below), whose sum is σ = 59644494. Its totient is φ = 5729472.

The previous prime is 20139583. The next prime is 20139589. The reversal of 20139588 is 88593102.

It can be written as a sum of positive squares in only one way, i.e., 14607684 + 5531904 = 3822^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20139583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86320 + ... + 86552.

Almost surely, 220139588 is an apocalyptic number.

20139588 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20139588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822247).

20139588 is an abundant number, since it is smaller than the sum of its proper divisors (39504906).

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

20139588 is a wasteful number, since it uses less digits than its factorization.

20139588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 20139588 is about 4487.7152316073. The cubic root of 20139588 is about 272.0717983760.

The spelling of 20139588 in words is "twenty million, one hundred thirty-nine thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 233 252 294 343 441 466 588 686 699 882 932 1029 1372 1398 1631 1764 2058 2097 2401 2796 3087 3262 4116 4194 4802 4893 6174 6524 7203 8388 9604 9786 11417 12348 14406 14679 19572 21609 22834 28812 29358 34251 43218 45668 58716 68502 79919 86436 102753 137004 159838 205506 239757 319676 411012 479514 559433 719271 959028 1118866 1438542 1678299 2237732 2877084 3356598 5034897 6713196 10069794 20139588