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20689578 = 23271317743
BaseRepresentation
bin100111011101…
…1001010101010
31102221010202200
41032323022222
520244031303
62015241030
7340600320
oct116731252
942833680
1020689578
1110751428
126b19176
134395270
142a67d10
151c3a3a3
hex13bb2aa

20689578 has 96 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 5128704.

The previous prime is 20689523. The next prime is 20689583. The reversal of 20689578 is 87598602.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27475 + ... + 28217.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 220689578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20689578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

20689578 is an abundant number, since it is smaller than the sum of its proper divisors (37806678).

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

20689578 is a wasteful number, since it uses less digits than its factorization.

20689578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 20689578 is about 4548.5797783484. The cubic root of 20689578 is about 274.5262498910.

The spelling of 20689578 in words is "twenty million, six hundred eighty-nine thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 743 819 1071 1326 1486 1547 1638 1989 2142 2229 3094 3978 4458 4641 5201 6687 9282 9659 10402 12631 13374 13923 15603 19318 25262 27846 28977 31206 37893 46809 57954 67613 75786 86931 88417 93618 113679 135226 164203 173862 176834 202839 227358 265251 328406 405678 492609 530502 608517 795753 985218 1149421 1217034 1477827 1591506 2298842 2955654 3448263 6896526 10344789 20689578