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20319075 = 3252721997
BaseRepresentation
bin100110110000…
…0101101100011
31102020022112100
41031200231203
520200202300
62003301443
7334465200
oct115405543
942208470
1020319075
1110519027
12697a883
13429572a
1429acca7
151bb5700
hex1360b63

20319075 has 108 divisors (see below), whose sum is σ = 45023160. Its totient is φ = 8709120.

The previous prime is 20319011. The next prime is 20319083. The reversal of 20319075 is 57091302.

It is not a de Polignac number, because 20319075 - 26 = 20319011 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 209427 + ... + 209523.

Almost surely, 220319075 is an apocalyptic number.

20319075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20319075 is an abundant number, since it is smaller than the sum of its proper divisors (24704085).

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

20319075 is a wasteful number, since it uses less digits than its factorization.

20319075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20319075 is about 4507.6684660698. The cubic root of 20319075 is about 272.8776572128.

The spelling of 20319075 in words is "twenty million, three hundred nineteen thousand, seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 97 105 133 147 171 175 225 245 285 291 315 399 441 475 485 525 665 679 735 855 873 931 1197 1225 1425 1455 1575 1843 1995 2037 2205 2425 2793 3325 3395 3675 4275 4365 4655 4753 5529 5985 6111 7275 8379 9215 9975 10185 11025 12901 13965 14259 16587 16975 21825 23275 23765 27645 29925 30555 38703 41895 42777 46075 50925 64505 69825 71295 82935 90307 116109 118825 138225 152775 193515 209475 213885 270921 322525 356475 414675 451535 580545 812763 967575 1069425 1354605 2257675 2902725 4063815 6773025 20319075