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36520000 = 26541183
BaseRepresentation
bin1000101101010…
…0000001000000
32112201102000121
42023110001000
533322120000
63342430024
7622262206
oct213240100
975642017
1036520000
1119684020
1210292314
13774888a
144bc9076
153315b1a
hex22d4040

36520000 has 140 divisors (see below), whose sum is σ = 99980496. Its totient is φ = 13120000.

The previous prime is 36519991. The next prime is 36520007. The reversal of 36520000 is 2563.

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

It is not an unprimeable number, because it can be changed into a prime (36520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439959 + ... + 440041.

Almost surely, 236520000 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 36520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990248).

36520000 is an abundant number, since it is smaller than the sum of its proper divisors (63460496).

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

36520000 is an equidigital number, since it uses as much as digits as its factorization.

36520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 36520000 is about 6043.1779718953. The cubic root of 36520000 is about 331.7749478805.

Adding to 36520000 its reverse (2563), we get a palindrome (36522563).

The spelling of 36520000 in words is "thirty-six million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 83 88 100 110 125 160 166 176 200 220 250 275 320 332 352 400 415 440 500 550 625 664 704 800 830 880 913 1000 1100 1250 1328 1375 1600 1660 1760 1826 2000 2075 2200 2500 2656 2750 3320 3520 3652 4000 4150 4400 4565 5000 5312 5500 6640 6875 7304 8000 8300 8800 9130 10000 10375 11000 13280 13750 14608 16600 17600 18260 20000 20750 22000 22825 26560 27500 29216 33200 36520 40000 41500 44000 45650 51875 55000 58432 66400 73040 83000 88000 91300 103750 110000 114125 132800 146080 166000 182600 207500 220000 228250 292160 332000 365200 415000 440000 456500 570625 664000 730400 830000 913000 1141250 1460800 1660000 1826000 2282500 3320000 3652000 4565000 7304000 9130000 18260000 36520000