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30131424 = 2532104623
BaseRepresentation
bin111001011110…
…0010011100000
32002200211112200
41302330103200
530203201144
62553453200
7514053501
oct162742340
962624480
1030131424
1116010204
12a111200
13631ca5b
144004ba8
1529a2c69
hex1cbc4e0

30131424 has 36 divisors (see below), whose sum is σ = 85687056. Its totient is φ = 10043712.

The previous prime is 30131419. The next prime is 30131443. The reversal of 30131424 is 42413103.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30131397 and 30131406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52024 + ... + 52599.

It is an arithmetic number, because the mean of its divisors is an integer number (2380196).

Almost surely, 230131424 is an apocalyptic number.

It is an amenable number.

30131424 is an abundant number, since it is smaller than the sum of its proper divisors (55555632).

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

30131424 is a wasteful number, since it uses less digits than its factorization.

30131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104639 (or 104628 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30131424 is about 5489.2097791941. The cubic root of 30131424 is about 311.1763284290.

Adding to 30131424 its reverse (42413103), we get a palindrome (72544527).

The spelling of 30131424 in words is "thirty million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 104623 209246 313869 418492 627738 836984 941607 1255476 1673968 1883214 2510952 3347936 3766428 5021904 7532856 10043808 15065712 30131424