Search a number
-
+
20166588 = 223213411051
BaseRepresentation
bin100110011101…
…1011110111100
31101221120100200
41030323132330
520130312323
62000123500
7333261501
oct114733674
941846320
1020166588
1110424502
126906590
1342411c0
14296d4a8
151b85443
hex133b7bc

20166588 has 72 divisors (see below), whose sum is σ = 56290416. Its totient is φ = 6048000.

The previous prime is 20166583. The next prime is 20166617. The reversal of 20166588 is 88566102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20166583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18663 + ... + 19713.

Almost surely, 220166588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20166588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28145208).

20166588 is an abundant number, since it is smaller than the sum of its proper divisors (36123828).

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

20166588 is a wasteful number, since it uses less digits than its factorization.

20166588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20166588 is about 4490.7224363124. The cubic root of 20166588 is about 272.1933278107.

The spelling of 20166588 in words is "twenty million, one hundred sixty-six thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1051 1066 1476 1599 2102 2132 3153 3198 4204 4797 6306 6396 9459 9594 12612 13663 18918 19188 27326 37836 40989 43091 54652 81978 86182 122967 129273 163956 172364 245934 258546 387819 491868 517092 560183 775638 1120366 1551276 1680549 2240732 3361098 5041647 6722196 10083294 20166588