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20147967 = 337297157
BaseRepresentation
bin100110011011…
…0111011111111
31101220121211000
41030312323333
520124213332
61555501343
7333153300
oct114667377
941817730
1020147967
1110411514
1268b7853
134235898
1429667a7
151b7eb7c
hex1336eff

20147967 has 48 divisors (see below), whose sum is σ = 35303520. Its totient is φ = 11321856.

The previous prime is 20147947. The next prime is 20148041. The reversal of 20147967 is 76974102.

It is a happy number.

It is not a de Polignac number, because 20147967 - 26 = 20147903 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20147917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128253 + ... + 128409.

It is an arithmetic number, because the mean of its divisors is an integer number (735490).

Almost surely, 220147967 is an apocalyptic number.

20147967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20147967 is a deficient number, since it is larger than the sum of its proper divisors (15155553).

20147967 is a wasteful number, since it uses less digits than its factorization.

20147967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20147967 is about 4488.6486830671. The cubic root of 20147967 is about 272.1095246280.

The spelling of 20147967 in words is "twenty million, one hundred forty-seven thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 21 27 49 63 97 147 157 189 291 441 471 679 873 1099 1323 1413 2037 2619 3297 4239 4753 6111 7693 9891 14259 15229 18333 23079 29673 42777 45687 69237 106603 128331 137061 207711 319809 411183 746221 959427 2238663 2878281 6715989 20147967