Search a number
-
+
30131760 = 2435223563
BaseRepresentation
bin111001011110…
…0011000110000
32002200212000010
41302330120300
530203204020
62553454520
7514054461
oct162743060
962625003
1030131760
111601048a
12a111440
13631cc59
144004d68
1529a2de0
hex1cbc630

30131760 has 80 divisors (see below), whose sum is σ = 93993984. Its totient is φ = 7984896.

The previous prime is 30131711. The next prime is 30131779. The reversal of 30131760 is 6713103.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53239 + ... + 53801.

Almost surely, 230131760 is an apocalyptic number.

30131760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46996992).

30131760 is an abundant number, since it is smaller than the sum of its proper divisors (63862224).

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

30131760 is a wasteful number, since it uses less digits than its factorization.

30131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 30131760 is about 5489.2403846070. The cubic root of 30131760 is about 311.1774850826.

Adding to 30131760 its reverse (6713103), we get a palindrome (36844863).

The spelling of 30131760 in words is "thirty million, one hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 563 669 892 1115 1126 1338 1689 1784 2230 2252 2676 2815 3345 3378 3568 4460 4504 5352 5630 6690 6756 8445 8920 9008 10704 11260 13380 13512 16890 17840 22520 26760 27024 33780 45040 53520 67560 125549 135120 251098 376647 502196 627745 753294 1004392 1255490 1506588 1883235 2008784 2510980 3013176 3766470 5021960 6026352 7532940 10043920 15065880 30131760