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20995272 = 23321721009
BaseRepresentation
bin101000000010…
…1110011001000
31110111200002200
41100011303020
520333322042
62030000200
7343312464
oct120056310
943450080
1020995272
1110940071
127046060
13447144c
142b074a4
151c9ac4c
hex1405cc8

20995272 has 72 divisors (see below), whose sum is σ = 60463650. Its totient is φ = 6580224.

The previous prime is 20995267. The next prime is 20995279. The reversal of 20995272 is 27259902.

It can be written as a sum of positive squares in 3 ways, for example, as 20196036 + 799236 = 4494^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20995279) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20304 + ... + 21312.

Almost surely, 220995272 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 20995272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30231825).

20995272 is an abundant number, since it is smaller than the sum of its proper divisors (39468378).

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

20995272 is a wasteful number, since it uses less digits than its factorization.

20995272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20995272 is about 4582.0597988241. The cubic root of 20995272 is about 275.8717110150.

It can be divided in two parts, 209952 and 72, that multiplied together give a square (15116544 = 38882).

The spelling of 20995272 in words is "twenty million, nine hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1009 1156 1224 1734 2018 2312 2601 3027 3468 4036 5202 6054 6936 8072 9081 10404 12108 17153 18162 20808 24216 34306 36324 51459 68612 72648 102918 137224 154377 205836 291601 308754 411672 583202 617508 874803 1166404 1235016 1749606 2332808 2624409 3499212 5248818 6998424 10497636 20995272