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30188560 = 2453531069
BaseRepresentation
bin111001100101…
…0010000010000
32002210201220211
41303022100100
530212013220
62555013504
7514412203
oct163122020
962721824
1030188560
111604a126
12a13a294
13633ca6c
14401b93a
1529b4b5a
hex1cca410

30188560 has 40 divisors (see below), whose sum is σ = 70453080. Its totient is φ = 12029952.

The previous prime is 30188539. The next prime is 30188563. The reversal of 30188560 is 6588103.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 28217344 = 1404^2 + 5312^2 .

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

It is a super-2 number, since 2×301885602 = 1822698309747200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30188563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27706 + ... + 28774.

It is an arithmetic number, because the mean of its divisors is an integer number (1761327).

Almost surely, 230188560 is an apocalyptic number.

It is an amenable number.

30188560 is an abundant number, since it is smaller than the sum of its proper divisors (40264520).

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

30188560 is a wasteful number, since it uses less digits than its factorization.

30188560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 30188560 is about 5494.4117064523. The cubic root of 30188560 is about 311.3728911561.

The spelling of 30188560 in words is "thirty million, one hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1069 1412 1765 2138 2824 3530 4276 5345 5648 7060 8552 10690 14120 17104 21380 28240 42760 85520 377357 754714 1509428 1886785 3018856 3773570 6037712 7547140 15094280 30188560