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20379294 = 232131747109
BaseRepresentation
bin100110110111…
…1011010011110
31102100101010200
41031233122132
520204114134
62004444330
7335135565
oct115573236
942311120
1020379294
111055a2a1
1269a96a6
1342b6c70
1429c6bdc
151bc8499
hex136f69e

20379294 has 96 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5723136.

The previous prime is 20379287. The next prime is 20379299. The reversal of 20379294 is 49297302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20379299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186912 + ... + 187020.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 220379294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20379294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

20379294 is an abundant number, since it is smaller than the sum of its proper divisors (31512546).

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

20379294 is a wasteful number, since it uses less digits than its factorization.

20379294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20379294 is about 4514.3431415877. The cubic root of 20379294 is about 273.1469643032.

It can be divided in two parts, 203 and 79294, that added together give a palindrome (79497).

The spelling of 20379294 in words is "twenty million, three hundred seventy-nine thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 47 51 78 94 102 109 117 141 153 218 221 234 282 306 327 423 442 611 654 663 799 846 981 1222 1326 1417 1598 1833 1853 1962 1989 2397 2834 3666 3706 3978 4251 4794 5123 5499 5559 7191 8502 10246 10387 10998 11118 12753 14382 15369 16677 20774 24089 25506 30738 31161 33354 46107 48178 62322 66599 72267 87091 92214 93483 133198 144534 174182 186966 199797 216801 261273 399594 433602 522546 599391 783819 1132183 1198782 1567638 2264366 3396549 6793098 10189647 20379294