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20001357 = 3319127307
BaseRepresentation
bin100110001001…
…1001001001101
31101122011201000
41030103021031
520110020412
61552410513
7332002665
oct114231115
941564630
1020001357
1110321352
126846a39
1341b3c2c
1429291a5
151b514dc
hex131324d

20001357 has 32 divisors (see below), whose sum is σ = 31539200. Its totient is φ = 12492144.

The previous prime is 20001341. The next prime is 20001361. The reversal of 20001357 is 75310002.

It is not a de Polignac number, because 20001357 - 24 = 20001341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64998 + ... + 65304.

It is an arithmetic number, because the mean of its divisors is an integer number (985600).

Almost surely, 220001357 is an apocalyptic number.

20001357 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20001357 is a deficient number, since it is larger than the sum of its proper divisors (11537843).

20001357 is a wasteful number, since it uses less digits than its factorization.

20001357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20001357 is about 4472.2876696384. The cubic root of 20001357 is about 271.4479006285.

Adding to 20001357 its reverse (75310002), we get a palindrome (95311359).

The spelling of 20001357 in words is "twenty million, one thousand, three hundred fifty-seven".

Divisors: 1 3 9 19 27 57 127 171 307 381 513 921 1143 2413 2763 3429 5833 7239 8289 17499 21717 38989 52497 65151 116967 157491 350901 740791 1052703 2222373 6667119 20001357