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20429325 = 32527217109
BaseRepresentation
bin100110111101…
…1101000001101
31102102220202200
41031323220031
520212214300
62005512113
7335434500
oct115735015
942386680
1020429325
1110593944
126a12639
134303977
1429db137
151bd8200
hex137ba0d

20429325 has 108 divisors (see below), whose sum is σ = 45482580. Its totient is φ = 8709120.

The previous prime is 20429323. The next prime is 20429333. The reversal of 20429325 is 52392402.

It can be written as a sum of positive squares in 6 ways, for example, as 233289 + 20196036 = 483^2 + 4494^2 .

It is not a de Polignac number, because 20429325 - 21 = 20429323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429323) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 187371 + ... + 187479.

It is an arithmetic number, because the mean of its divisors is an integer number (421135).

Almost surely, 220429325 is an apocalyptic number.

20429325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20429325 is an abundant number, since it is smaller than the sum of its proper divisors (25053255).

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

20429325 is a wasteful number, since it uses less digits than its factorization.

20429325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

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

The square root of 20429325 is about 4519.8810825065. The cubic root of 20429325 is about 273.3703061560.

The spelling of 20429325 in words is "twenty million, four hundred twenty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 109 119 147 153 175 225 245 255 315 327 357 425 441 525 545 595 735 763 765 833 981 1071 1225 1275 1575 1635 1785 1853 2205 2289 2499 2725 2975 3675 3815 3825 4165 4905 5341 5355 5559 6867 7497 8175 8925 9265 11025 11445 12495 12971 16023 16677 19075 20825 24525 26705 26775 27795 34335 37485 38913 46325 48069 57225 62475 64855 80115 83385 90797 116739 133525 138975 171675 187425 194565 240345 272391 324275 400575 416925 453985 583695 817173 972825 1201725 1361955 2269925 2918475 4085865 6809775 20429325