Search a number
-
+
30745080 = 23325412083
BaseRepresentation
bin111010101001…
…0000111111000
32010212000022200
41311102013320
530332320310
63014550200
7522220542
oct165220770
963760280
1030745080
111639a263
12a368360
1364a6172
144124692
152a749c0
hex1d521f8

30745080 has 96 divisors (see below), whose sum is σ = 102407760. Its totient is φ = 7994880.

The previous prime is 30745073. The next prime is 30745081. The reversal of 30745080 is 8054703.

30745080 = 5802 + 5812 + ... + 6592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30745081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 15801.

Almost surely, 230745080 is an apocalyptic number.

30745080 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 30745080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51203880).

30745080 is an abundant number, since it is smaller than the sum of its proper divisors (71662680).

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

30745080 is a wasteful number, since it uses less digits than its factorization.

30745080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30745080 is about 5544.8246139982. The cubic root of 30745080 is about 313.2746180409.

Adding to 30745080 its reverse (8054703), we get a palindrome (38799783).

The spelling of 30745080 in words is "thirty million, seven hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2083 2460 2952 3690 4166 4920 6249 7380 8332 10415 12498 14760 16664 18747 20830 24996 31245 37494 41660 49992 62490 74988 83320 85403 93735 124980 149976 170806 187470 249960 256209 341612 374940 427015 512418 683224 749880 768627 854030 1024836 1281045 1537254 1708060 2049672 2562090 3074508 3416120 3843135 5124180 6149016 7686270 10248360 15372540 30745080