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30160 = 2451329
BaseRepresentation
bin111010111010000
31112101001
413113100
51431120
6351344
7153634
oct72720
945331
1030160
1120729
1215554
1310960
14adc4
158e0a
hex75d0

30160 has 40 divisors (see below), whose sum is σ = 78120. Its totient is φ = 10752.

The previous prime is 30139. The next prime is 30161. The reversal of 30160 is 6103.

30160 = T29 + T30 + ... + T58.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 29584 = 24^2 + 172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30161) by changing a digit.

30160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

230160 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 30160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

30160 is an abundant number, since it is smaller than the sum of its proper divisors (47960).

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

30160 is a wasteful number, since it uses less digits than its factorization.

30160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 30160 is about 173.6663467687. Note that the first 3 decimals coincide. The cubic root of 30160 is about 31.1274668346.

Adding to 30160 its reverse (6103), we get a palindrome (36263).

It can be divided in two parts, 301 and 60, that added together give a square (361 = 192).

The spelling of 30160 in words is "thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160