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20172672 = 273313449
BaseRepresentation
bin100110011110…
…0111110000000
31101221212201000
41030330332000
520131011142
62000212000
7333315312
oct114747600
941855630
1020172672
1110429033
12690a000
134243bc0
1429717b2
151b8714c
hex133cf80

20172672 has 128 divisors (see below), whose sum is σ = 64260000. Its totient is φ = 6193152.

The previous prime is 20172667. The next prime is 20172683. The reversal of 20172672 is 27627102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 44704 + ... + 45152.

Almost surely, 220172672 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 20172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130000).

20172672 is an abundant number, since it is smaller than the sum of its proper divisors (44087328).

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

20172672 is a wasteful number, since it uses less digits than its factorization.

20172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20172672 is about 4491.3997818052. The cubic root of 20172672 is about 272.2206974663.

Adding to 20172672 its reverse (27627102), we get a palindrome (47799774).

The spelling of 20172672 in words is "twenty million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 449 468 576 624 702 832 864 898 936 1152 1248 1347 1404 1664 1728 1796 1872 2496 2694 2808 3456 3592 3744 4041 4992 5388 5616 5837 7184 7488 8082 10776 11232 11674 12123 14368 14976 16164 17511 21552 22464 23348 24246 28736 32328 35022 43104 44928 46696 48492 52533 57472 64656 70044 86208 93392 96984 105066 129312 140088 157599 172416 186784 193968 210132 258624 280176 315198 373568 387936 420264 517248 560352 630396 747136 775872 840528 1120704 1260792 1551744 1681056 2241408 2521584 3362112 5043168 6724224 10086336 20172672