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20679744 = 263374171
BaseRepresentation
bin100111011100…
…0110001000000
31102220122021110
41032320301000
520243222434
62015123320
7340526541
oct116706100
942818243
1020679744
1110744aa8
126b13540
134390947
142a644c8
151c374e9
hex13b8c40

20679744 has 112 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 6451200.

The previous prime is 20679727. The next prime is 20679767. The reversal of 20679744 is 44797602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291229 + ... + 291299.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 220679744 is an apocalyptic number.

20679744 is a gapful number since it is divisible by the number (24) 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 20679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

20679744 is an abundant number, since it is smaller than the sum of its proper divisors (37695552).

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

20679744 is a wasteful number, since it uses less digits than its factorization.

20679744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 20679744 is about 4547.4986531059. The cubic root of 20679744 is about 274.4827478117.

It can be divided in two parts, 2067 and 9744, that added together give a palindrome (11811).

The spelling of 20679744 in words is "twenty million, six hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 71 74 82 96 111 123 142 148 164 192 213 222 246 284 296 328 426 444 492 568 592 656 852 888 984 1136 1184 1312 1517 1704 1776 1968 2272 2368 2624 2627 2911 3034 3408 3552 3936 4544 4551 5254 5822 6068 6816 7104 7872 7881 8733 9102 10508 11644 12136 13632 15762 17466 18204 21016 23288 24272 31524 34932 36408 42032 46576 48544 63048 69864 72816 84064 93152 97088 107707 126096 139728 145632 168128 186304 215414 252192 279456 291264 323121 430828 504384 558912 646242 861656 1292484 1723312 2584968 3446624 5169936 6893248 10339872 20679744