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36126720 = 21432572
BaseRepresentation
bin1000100111010…
…0000000000000
32111222102112200
42021310000000
533222023340
63330153200
7616033500
oct211640000
974872480
1036126720
11194355a3
1210122800
13763b876
144b25a00
153289330
hex2274000

36126720 has 270 divisors, whose sum is σ = 145682082. Its totient is φ = 8257536.

The previous prime is 36126719. The next prime is 36126743. The reversal of 36126720 is 2762163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 7225344 = 5376^2 + 2688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5160957 + ... + 5160963.

Almost surely, 236126720 is an apocalyptic number.

36126720 is a gapful number since it is divisible by the number (30) 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 36126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72841041).

36126720 is an abundant number, since it is smaller than the sum of its proper divisors (109555362).

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

36126720 is an equidigital number, since it uses as much as digits as its factorization.

36126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36126720 is about 6010.5507235194. The cubic root of 36126720 is about 330.5796973269.

Adding to 36126720 its reverse (2762163), we get a palindrome (38888883).

It can be divided in two parts, 36 and 126720, that added together give a triangular number (126756 = T503).

The spelling of 36126720 in words is "thirty-six million, one hundred twenty-six thousand, seven hundred twenty".