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20743272 = 23321122381
BaseRepresentation
bin100111100100…
…0010001101000
31110000212102100
41033020101220
520302241042
62020333400
7341213004
oct117102150
943025370
1020743272
1110788800
126b44260
1343b3834
142a7d704
151c4b24c
hex13c8468

20743272 has 72 divisors (see below), whose sum is σ = 61777170. Its totient is φ = 6283200.

The previous prime is 20743271. The next prime is 20743337. The reversal of 20743272 is 27234702.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 4356 = 4554^2 + 66^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20743271) 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, 7522 + ... + 9902.

Almost surely, 220743272 is an apocalyptic number.

20743272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20743272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888585).

20743272 is an abundant number, since it is smaller than the sum of its proper divisors (41033898).

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

20743272 is a wasteful number, since it uses less digits than its factorization.

20743272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20743272 is about 4554.4782357587. The cubic root of 20743272 is about 274.7635300533.

Adding to 20743272 its reverse (27234702), we get a palindrome (47977974).

The spelling of 20743272 in words is "twenty million, seven hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2381 2904 4356 4762 7143 8712 9524 14286 19048 21429 26191 28572 42858 52382 57144 78573 85716 104764 157146 171432 209528 235719 288101 314292 471438 576202 628584 864303 942876 1152404 1728606 1885752 2304808 2592909 3457212 5185818 6914424 10371636 20743272