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5134032 = 2432101353
BaseRepresentation
bin10011100101011011010000
3100122211120100
4103211123100
52303242112
6302012400
761432011
oct23453320
910584510
105134032
112997302
121877100
1310a9ab7
14979008
156b62dc
hex4e56d0

5134032 has 60 divisors (see below), whose sum is σ = 14551524. Its totient is φ = 1689600.

The previous prime is 5134013. The next prime is 5134039. The reversal of 5134032 is 2304315.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 1354896 = 1944^2 + 1164^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 5133996 and 5134014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14368 + ... + 14720.

Almost surely, 25134032 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 5134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275762).

5134032 is an abundant number, since it is smaller than the sum of its proper divisors (9417492).

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

5134032 is a wasteful number, since it uses less digits than its factorization.

5134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5134032 is about 2265.8402414998. The cubic root of 5134032 is about 172.5120848496.

Adding to 5134032 its reverse (2304315), we get a palindrome (7438347).

The spelling of 5134032 in words is "five million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 353 404 606 706 808 909 1059 1212 1412 1616 1818 2118 2424 2824 3177 3636 4236 4848 5648 6354 7272 8472 12708 14544 16944 25416 35653 50832 71306 106959 142612 213918 285224 320877 427836 570448 641754 855672 1283508 1711344 2567016 5134032