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36130536 = 2334134289
BaseRepresentation
bin1000100111010…
…0111011101000
32111222121210000
42021310323220
533222134121
63330223000
7616050561
oct211647350
974877700
1036130536
1119438452
1210124a60
137640520
144b27168
15328a526
hex2274ee8

36130536 has 80 divisors (see below), whose sum is σ = 109008900. Its totient is φ = 11114496.

The previous prime is 36130519. The next prime is 36130541. The reversal of 36130536 is 63503163.

36130536 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 35928036 + 202500 = 5994^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6280 + ... + 10568.

Almost surely, 236130536 is an apocalyptic number.

36130536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54504450).

36130536 is an abundant number, since it is smaller than the sum of its proper divisors (72878364).

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

36130536 is a wasteful number, since it uses less digits than its factorization.

36130536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 36130536 is about 6010.8681569304. The cubic root of 36130536 is about 330.5913364286.

Adding to 36130536 its reverse (63503163), we get a palindrome (99633699).

The spelling of 36130536 in words is "thirty-six million, one hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 4289 8424 8578 12867 17156 25734 34312 38601 51468 55757 77202 102936 111514 115803 154404 167271 223028 231606 308808 334542 347409 446056 463212 501813 669084 694818 926424 1003626 1338168 1389636 1505439 2007252 2779272 3010878 4014504 4516317 6021756 9032634 12043512 18065268 36130536