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20059524 = 22321773449
BaseRepresentation
bin100110010000…
…1010110000100
31101202010111100
41030201112010
520113401044
61553540100
7332334402
oct114412604
941663440
1020059524
1110361021
126874630
134204554
142942472
151b63869
hex1321584

20059524 has 72 divisors (see below), whose sum is σ = 54545400. Its totient is φ = 6193152.

The previous prime is 20059517. The next prime is 20059531. The reversal of 20059524 is 42595002.

It is an interprime number because it is at equal distance from previous prime (20059517) and next prime (20059531).

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 13089924 = 2640^2 + 3618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44452 + ... + 44900.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 220059524 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 20059524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272700).

20059524 is an abundant number, since it is smaller than the sum of its proper divisors (34485876).

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

20059524 is a wasteful number, since it uses less digits than its factorization.

20059524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20059524 is about 4478.7859962271. The cubic root of 20059524 is about 271.7107832721.

The spelling of 20059524 in words is "twenty million, fifty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 449 612 657 876 898 1241 1314 1347 1796 2482 2628 2694 3723 4041 4964 5388 7446 7633 8082 11169 14892 15266 16164 22338 22899 30532 32777 44676 45798 65554 68697 91596 98331 131108 137394 196662 274788 294993 393324 557209 589986 1114418 1179972 1671627 2228836 3343254 5014881 6686508 10029762 20059524