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20054272 = 28719231
BaseRepresentation
bin100110010000…
…0000100000000
31101201212021211
41030200010000
520113214042
61553455504
7332313160
oct114400400
941655254
1020054272
1110358087
126871594
134202044
1429405a0
151b62017
hex1320100

20054272 has 108 divisors (see below), whose sum is σ = 49840896. Its totient is φ = 7879680.

The previous prime is 20054269. The next prime is 20054273. The reversal of 20054272 is 27245002.

It is not an unprimeable number, because it can be changed into a prime (20054273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646897 + ... + 646927.

Almost surely, 220054272 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 20054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24920448).

20054272 is an abundant number, since it is smaller than the sum of its proper divisors (29786624).

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

20054272 is an equidigital number, since it uses as much as digits as its factorization.

20054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 20054272 is about 4478.1996382475. The cubic root of 20054272 is about 271.6870680268.

Adding to 20054272 its reverse (27245002), we get a palindrome (47299274).

The spelling of 20054272 in words is "twenty million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 256 266 304 361 434 448 496 532 589 608 722 868 896 992 1064 1178 1216 1444 1736 1792 1984 2128 2356 2432 2527 2888 3472 3968 4123 4256 4712 4864 5054 5776 6944 7936 8246 8512 9424 10108 11191 11552 13888 16492 17024 18848 20216 22382 23104 27776 32984 34048 37696 40432 44764 46208 55552 65968 75392 78337 80864 89528 92416 131936 150784 156674 161728 179056 263872 313348 323456 358112 527744 626696 646912 716224 1055488 1253392 1432448 2506784 2864896 5013568 10027136 20054272