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30940 = 22571317
BaseRepresentation
bin111100011011100
31120102221
413203130
51442230
6355124
7156130
oct74334
946387
1030940
1121278
1215aa4
1311110
14b3c0
15927a
hex78dc

30940 has 48 divisors (see below), whose sum is σ = 84672. Its totient is φ = 9216.

The previous prime is 30937. The next prime is 30941. The reversal of 30940 is 4903.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30941) 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, 1812 + ... + 1828.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

230940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

30940 is an abundant number, since it is smaller than the sum of its proper divisors (53732).

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

30940 is a wasteful number, since it uses less digits than its factorization.

30940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 30940 is about 175.8976975404. The cubic root of 30940 is about 31.3935264624.

The spelling of 30940 in words is "thirty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 30940