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20755072 = 271312473
BaseRepresentation
bin100111100101…
…1001010000000
31110001110121101
41033023022000
520303130242
62020504144
7341262262
oct117131200
943043541
1020755072
1110796658
126b4b054
1343b9010
142a83b32
151c4e9b7
hex13cb280

20755072 has 32 divisors (see below), whose sum is σ = 44532180. Its totient is φ = 9578496.

The previous prime is 20755069. The next prime is 20755073. The reversal of 20755072 is 27055702.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 179776 = 4536^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20755072.

It is not an unprimeable number, because it can be changed into a prime (20755073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4573 + ... + 7900.

Almost surely, 220755072 is an apocalyptic number.

It is an amenable number.

20755072 is an abundant number, since it is smaller than the sum of its proper divisors (23777108).

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

20755072 is a wasteful number, since it uses less digits than its factorization.

20755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 20755072 is about 4555.7734798824. The cubic root of 20755072 is about 274.8156207595.

The spelling of 20755072 in words is "twenty million, seven hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 12473 24946 49892 99784 162149 199568 324298 399136 648596 798272 1297192 1596544 2594384 5188768 10377536 20755072