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36001024 = 28140629
BaseRepresentation
bin1000100101010…
…1010100000000
32111202001010021
42021111110000
533204013044
63323343224
7615001153
oct211252400
974661107
1036001024
111935a114
1210081b14
1375c65a7
144ad1c9a
153261e84
hex2255500

36001024 has 18 divisors (see below), whose sum is σ = 71861930. Its totient is φ = 18000384.

The previous prime is 36000989. The next prime is 36001039. The reversal of 36001024 is 42010063.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 1024 = 6000^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 36000989 and 36001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70059 + ... + 70570.

Almost surely, 236001024 is an apocalyptic number.

It is an amenable number.

36001024 is a deficient number, since it is larger than the sum of its proper divisors (35860906).

36001024 is an equidigital number, since it uses as much as digits as its factorization.

36001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140645 (or 140631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 36001024 is about 6000.0853327265. The cubic root of 36001024 is about 330.1958555760.

Adding to 36001024 its reverse (42010063), we get a palindrome (78011087).

It can be divided in two parts, 3600 and 1024, that multiplied together give a square (3686400 = 19202).

The spelling of 36001024 in words is "thirty-six million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 140629 281258 562516 1125032 2250064 4500128 9000256 18000512 36001024