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65136032 = 2513156577
BaseRepresentation
bin1111100001111…
…0010110100000
311112120020211122
43320132112200
5113133323112
610244031412
71420434653
oct370362640
9145506748
1065136032
1133849735
1219992568
1310657940
14891789a
155ab9872
hex3e1e5a0

65136032 has 24 divisors (see below), whose sum is σ = 138101796. Its totient is φ = 30062592.

The previous prime is 65136017. The next prime is 65136037. The reversal of 65136032 is 23063156.

65136032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57093136 + 8042896 = 7556^2 + 2836^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 65135992 and 65136010.

It is not an unprimeable number, because it can be changed into a prime (65136037) 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 3 ways as a sum of consecutive naturals, for example, 77873 + ... + 78704.

Almost surely, 265136032 is an apocalyptic number.

It is an amenable number.

65136032 is an abundant number, since it is smaller than the sum of its proper divisors (72965764).

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

65136032 is a wasteful number, since it uses less digits than its factorization.

65136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156600 (or 156592 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 65136032 is about 8070.6896855225. The cubic root of 65136032 is about 402.3528662481.

Adding to 65136032 its reverse (23063156), we get a palindrome (88199188).

The spelling of 65136032 in words is "sixty-five million, one hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 156577 313154 626308 1252616 2035501 2505232 4071002 5010464 8142004 16284008 32568016 65136032