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36126714 = 23131921283
BaseRepresentation
bin1000100111001…
…1111111111010
32111222102112110
42021303333322
533222023324
63330153150
7616033461
oct211637772
974872473
1036126714
1119435598
12101227b6
13763b870
144b259d8
153289329
hex2273ffa

36126714 has 48 divisors (see below), whose sum is σ = 82186272. Its totient is φ = 10522656.

The previous prime is 36126709. The next prime is 36126719. The reversal of 36126714 is 41762163.

It is an interprime number because it is at equal distance from previous prime (36126709) and next prime (36126719).

It is not an unprimeable number, because it can be changed into a prime (36126719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27517 + ... + 28799.

It is an arithmetic number, because the mean of its divisors is an integer number (1712214).

Almost surely, 236126714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41093136).

36126714 is an abundant number, since it is smaller than the sum of its proper divisors (46059558).

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

36126714 is a wasteful number, since it uses less digits than its factorization.

36126714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1320 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36126714 is about 6010.5502243971. The cubic root of 36126714 is about 330.5796790258.

Adding to 36126714 its reverse (41762163), we get a palindrome (77888877).

The spelling of 36126714 in words is "thirty-six million, one hundred twenty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 1083 1283 1482 2166 2566 3849 4693 7698 9386 14079 16679 24377 28158 33358 48754 50037 73131 100074 146262 316901 463163 633802 926326 950703 1389489 1901406 2778978 6021119 12042238 18063357 36126714