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20364561 = 3371953107
BaseRepresentation
bin100110110101…
…1110100010001
31102022121221000
41031223310101
520203131221
62004252213
7335044620
oct115536421
942277830
1020364561
111054a218
1269a1069
1342b0349
1429c16b7
151bc3e26
hex136bd11

20364561 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 10715328.

The previous prime is 20364559. The next prime is 20364563. The reversal of 20364561 is 16546302.

20364561 is a `hidden beast` number, since 203 + 6 + 456 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20364559) and next prime (20364563).

It is not a de Polignac number, because 20364561 - 21 = 20364559 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20364563) 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 63 ways as a sum of consecutive naturals, for example, 190270 + ... + 190376.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 220364561 is an apocalyptic number.

20364561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20364561 is a deficient number, since it is larger than the sum of its proper divisors (16960239).

20364561 is a wasteful number, since it uses less digits than its factorization.

20364561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20364561 is about 4512.7110476963. The cubic root of 20364561 is about 273.0811255097.

The spelling of 20364561 in words is "twenty million, three hundred sixty-four thousand, five hundred sixty-one".

Divisors: 1 3 7 9 19 21 27 53 57 63 107 133 159 171 189 321 371 399 477 513 749 963 1007 1113 1197 1431 2033 2247 2889 3021 3339 3591 5671 6099 6741 7049 9063 10017 14231 17013 18297 20223 21147 27189 39697 42693 51039 54891 63441 107749 119091 128079 153117 190323 323247 357273 384237 754243 969741 1071819 2262729 2909223 6788187 20364561