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36097124 = 2272434283
BaseRepresentation
bin1000100110110…
…0110001100100
32111220220221112
42021230301210
533220101444
63325404152
7615551300
oct211546144
974826845
1036097124
1119415338
1210109658
13762b25b
144b18d00
15328069e
hex226cc64

36097124 has 36 divisors (see below), whose sum is σ = 75209904. Its totient is φ = 15106896.

The previous prime is 36097123. The next prime is 36097129. The reversal of 36097124 is 42179063.

36097124 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×360971242 = 2606004722142752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36097123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6287 + ... + 10569.

It is an arithmetic number, because the mean of its divisors is an integer number (2089164).

Almost surely, 236097124 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 36097124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604952).

36097124 is an abundant number, since it is smaller than the sum of its proper divisors (39112780).

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

36097124 is a wasteful number, since it uses less digits than its factorization.

36097124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 36097124 is about 6008.0882150648. The cubic root of 36097124 is about 330.4893993455.

The spelling of 36097124 in words is "thirty-six million, ninety-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4214 4283 8428 8566 17132 29981 59962 119924 184169 209867 368338 419734 736676 839468 1289183 2578366 5156732 9024281 18048562 36097124