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20079675 = 32527111961
BaseRepresentation
bin100110010011…
…0010000111011
31101210011010200
41030212100323
520120022200
61554213243
7332450220
oct114462073
941704120
1020079675
1110375180
126884223
134210785
142949947
151b69800
hex132643b

20079675 has 144 divisors (see below), whose sum is σ = 47973120. Its totient is φ = 7776000.

The previous prime is 20079673. The next prime is 20079677. The reversal of 20079675 is 57697002.

It is an interprime number because it is at equal distance from previous prime (20079673) and next prime (20079677).

It is not a de Polignac number, because 20079675 - 21 = 20079673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20079673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329145 + ... + 329205.

Almost surely, 220079675 is an apocalyptic number.

20079675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20079675 is an abundant number, since it is smaller than the sum of its proper divisors (27893445).

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

20079675 is a wasteful number, since it uses less digits than its factorization.

20079675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 20079675 is about 4481.0350366852. The cubic root of 20079675 is about 271.8017361051.

The spelling of 20079675 in words is "twenty million, seventy-nine thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 19 21 25 33 35 45 55 57 61 63 75 77 95 99 105 133 165 171 175 183 209 225 231 275 285 305 315 385 399 427 475 495 525 549 627 665 671 693 825 855 915 1045 1155 1159 1197 1281 1425 1463 1525 1575 1881 1925 1995 2013 2135 2475 2745 3135 3325 3355 3465 3477 3843 4275 4389 4575 4697 5225 5775 5795 5985 6039 6405 7315 8113 9405 9975 10065 10431 10675 12749 13167 13725 14091 15675 16775 17325 17385 19215 21945 23485 24339 28975 29925 30195 32025 36575 38247 40565 42273 47025 50325 52155 63745 65835 70455 73017 86925 89243 96075 109725 114741 117425 121695 150975 191235 202825 211365 260775 267729 318725 329175 352275 365085 446215 573705 608475 803187 956175 1056825 1338645 1825425 2231075 2868525 4015935 6693225 20079675