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30969 = 333137
BaseRepresentation
bin111100011111001
31120111000
413203321
51442334
6355213
7156201
oct74371
946430
1030969
11212a4
1215b09
1311133
14b401
159299
hex78f9

30969 has 16 divisors (see below), whose sum is σ = 48640. Its totient is φ = 19440.

The previous prime is 30949. The next prime is 30971. The reversal of 30969 is 96903.

30969 = T21 + T22 + ... + T57.

It is not a de Polignac number, because 30969 - 25 = 30937 is a prime.

It is a super-2 number, since 2×309692 = 1918157922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

30969 is a lucky number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (30949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (3040).

230969 is an apocalyptic number.

It is an amenable number.

30969 is a deficient number, since it is larger than the sum of its proper divisors (17671).

30969 is a wasteful number, since it uses less digits than its factorization.

30969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30969 is about 175.9801125127. The cubic root of 30969 is about 31.4033317627.

It can be divided in two parts, 309 and 69, that multiplied together give a triangular number (21321 = T206).

The spelling of 30969 in words is "thirty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 31 37 93 111 279 333 837 999 1147 3441 10323 30969