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30914 = 2132941
BaseRepresentation
bin111100011000010
31120101222
413203002
51442124
6355042
7156062
oct74302
946358
1030914
1121254
1215a82
13110c0
14b3a2
15925e
hex78c2

30914 has 16 divisors (see below), whose sum is σ = 52920. Its totient is φ = 13440.

The previous prime is 30911. The next prime is 30931. The reversal of 30914 is 41903.

It can be written as a sum of positive squares in 4 ways, for example, as 13225 + 17689 = 115^2 + 133^2 .

It is a cake number, because a cake can be divided into 30914 parts by 57 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 30892 and 30901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30914.

It is not an unprimeable number, because it can be changed into a prime (30911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 774.

230914 is an apocalyptic number.

30914 is a deficient number, since it is larger than the sum of its proper divisors (22006).

30914 is a wasteful number, since it uses less digits than its factorization.

30914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 30914 is about 175.8237754116. The cubic root of 30914 is about 31.3847302932.

The spelling of 30914 in words is "thirty thousand, nine hundred fourteen".

Divisors: 1 2 13 26 29 41 58 82 377 533 754 1066 1189 2378 15457 30914