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20387367 = 32711133173
BaseRepresentation
bin100110111000…
…1011000100111
31102100210012200
41031301120213
520204343432
62004545543
7335201250
oct115613047
942323180
1020387367
1110565370
1269b22b3
1342ba840
1429c9b27
151bcaa7c
hex1371627

20387367 has 96 divisors (see below), whose sum is σ = 41373696. Its totient is φ = 9331200.

The previous prime is 20387357. The next prime is 20387371. The reversal of 20387367 is 76378302.

It is not a de Polignac number, because 20387367 - 219 = 19863079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20387357) 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 95 ways as a sum of consecutive naturals, for example, 279243 + ... + 279315.

It is an arithmetic number, because the mean of its divisors is an integer number (430976).

Almost surely, 220387367 is an apocalyptic number.

20387367 is an abundant number, since it is smaller than the sum of its proper divisors (20986329).

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

20387367 is a wasteful number, since it uses less digits than its factorization.

20387367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 20387367 is about 4515.2372030714. The cubic root of 20387367 is about 273.1830274486.

The spelling of 20387367 in words is "twenty million, three hundred eighty-seven thousand, three hundred sixty-seven".

Divisors: 1 3 7 9 11 13 21 31 33 39 63 73 77 91 93 99 117 143 217 219 231 273 279 341 403 429 511 651 657 693 803 819 949 1001 1023 1209 1287 1533 1953 2263 2387 2409 2821 2847 3003 3069 3627 4433 4599 5621 6643 6789 7161 7227 8463 8541 9009 10439 13299 15841 16863 19929 20367 21483 24893 25389 29419 31031 31317 39897 47523 50589 59787 73073 74679 88257 93093 93951 142569 174251 205933 219219 224037 264771 279279 323609 522753 617799 657657 970827 1568259 1853397 2265263 2912481 6795789 20387367