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20327112 = 23341319127
BaseRepresentation
bin100110110001…
…0101011001000
31102020201120000
41031202223020
520200431422
62003403000
7334530501
oct115425310
942221500
1020327112
1110524073
126983460
1342992a0
1429b1ba8
151bb7cac
hex1362ac8

20327112 has 160 divisors (see below), whose sum is σ = 65049600. Its totient is φ = 5878656.

The previous prime is 20327039. The next prime is 20327117. The reversal of 20327112 is 21172302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20327117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159993 + ... + 160119.

It is an arithmetic number, because the mean of its divisors is an integer number (406560).

Almost surely, 220327112 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 20327112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32524800).

20327112 is an abundant number, since it is smaller than the sum of its proper divisors (44722488).

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

20327112 is a wasteful number, since it uses less digits than its factorization.

20327112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20327112 is about 4508.5598587576. The cubic root of 20327112 is about 272.9136304488.

Adding to 20327112 its reverse (21172302), we get a palindrome (41499414).

The spelling of 20327112 in words is "twenty million, three hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 127 152 156 162 171 216 228 234 247 254 312 324 342 351 381 456 468 494 508 513 648 684 702 741 762 936 988 1016 1026 1053 1143 1368 1404 1482 1524 1539 1651 1976 2052 2106 2223 2286 2413 2808 2964 3048 3078 3302 3429 4104 4212 4446 4572 4826 4953 5928 6156 6604 6669 6858 7239 8424 8892 9144 9652 9906 10287 12312 13208 13338 13716 14478 14859 17784 19304 19812 20007 20574 21717 26676 27432 28956 29718 31369 39624 40014 41148 43434 44577 53352 57912 59436 62738 65151 80028 82296 86868 89154 94107 118872 125476 130302 133731 160056 173736 178308 188214 195453 250952 260604 267462 282321 356616 376428 390906 521208 534924 564642 752856 781812 846963 1069848 1129284 1563624 1693926 2258568 2540889 3387852 5081778 6775704 10163556 20327112