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20275272 = 233467467
BaseRepresentation
bin100110101011…
…0000001001000
31102011002110000
41031112001020
520142302042
62002323000
7334223403
oct115260110
942132400
1020275272
1110499126
126959460
13427b804
14299ad3a
151ba774c
hex1356048

20275272 has 80 divisors (see below), whose sum is σ = 57760560. Its totient is φ = 6643296.

The previous prime is 20275267. The next prime is 20275289. The reversal of 20275272 is 27257202.

It is a happy number.

It is a super-2 number, since 2×202752722 = 822173309347968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43183 + ... + 43649.

It is an arithmetic number, because the mean of its divisors is an integer number (722007).

Almost surely, 220275272 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 20275272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880280).

20275272 is an abundant number, since it is smaller than the sum of its proper divisors (37485288).

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

20275272 is a wasteful number, since it uses less digits than its factorization.

20275272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20275272 is about 4502.8071244503. The cubic root of 20275272 is about 272.6814301129.

The spelling of 20275272 in words is "twenty million, two hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 467 536 603 648 804 934 1206 1401 1608 1809 1868 2412 2802 3618 3736 4203 4824 5427 5604 7236 8406 10854 11208 12609 14472 16812 21708 25218 31289 33624 37827 43416 50436 62578 75654 93867 100872 125156 151308 187734 250312 281601 302616 375468 563202 750936 844803 1126404 1689606 2252808 2534409 3379212 5068818 6758424 10137636 20275272