Search a number
-
+
20718288 = 2433199241
BaseRepresentation
bin100111100001…
…0001011010000
31102222121011000
41033002023100
520300441123
62020022000
7341050113
oct117021320
942877130
1020718288
1110770a58
126b31900
1343a5356
142a7457a
151c43b43
hex13c22d0

20718288 has 80 divisors (see below), whose sum is σ = 60016000. Its totient is φ = 6842880.

The previous prime is 20718287. The next prime is 20718311. The reversal of 20718288 is 88281702.

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 (20718281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85848 + ... + 86088.

It is an arithmetic number, because the mean of its divisors is an integer number (750200).

Almost surely, 220718288 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 20718288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008000).

20718288 is an abundant number, since it is smaller than the sum of its proper divisors (39297712).

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

20718288 is a wasteful number, since it uses less digits than its factorization.

20718288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20718288 is about 4551.7346144080. The cubic root of 20718288 is about 274.6531737907.

The spelling of 20718288 in words is "twenty million, seven hundred eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 241 398 432 482 597 723 796 964 1194 1446 1592 1791 1928 2169 2388 2892 3184 3582 3856 4338 4776 5373 5784 6507 7164 8676 9552 10746 11568 13014 14328 17352 21492 26028 28656 34704 42984 47959 52056 85968 95918 104112 143877 191836 287754 383672 431631 575508 767344 863262 1151016 1294893 1726524 2302032 2589786 3453048 5179572 6906096 10359144 20718288