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20257272 = 2332740193
BaseRepresentation
bin100110101000…
…1100111111000
31102010011202100
41031101213320
520141213042
62002103400
7334120050
oct115214770
942104670
1020257272
1110486652
12694ab60
134273569
142994560
151ba224c
hex13519f8

20257272 has 48 divisors (see below), whose sum is σ = 62702640. Its totient is φ = 5787648.

The previous prime is 20257271. The next prime is 20257297. The reversal of 20257272 is 27275202.

It is a happy number.

20257272 is a `hidden beast` number, since 20 + 2 + 572 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20257271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19593 + ... + 20600.

It is an arithmetic number, because the mean of its divisors is an integer number (1306305).

Almost surely, 220257272 is an apocalyptic number.

It is an amenable number.

20257272 is an abundant number, since it is smaller than the sum of its proper divisors (42445368).

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

20257272 is a wasteful number, since it uses less digits than its factorization.

20257272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40212 (or 40205 counting only the distinct ones).

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

The square root of 20257272 is about 4500.8079274726. The cubic root of 20257272 is about 272.6007124297.

The spelling of 20257272 in words is "twenty million, two hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 40193 80386 120579 160772 241158 281351 321544 361737 482316 562702 723474 844053 964632 1125404 1446948 1688106 2250808 2532159 2893896 3376212 5064318 6752424 10128636 20257272