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36361120 = 255227257
BaseRepresentation
bin1000101010110…
…1001110100000
32112102100002011
42022231032200
533302023440
63335202304
7621031045
oct212551640
975370064
1036361120
1119585714
1210216394
1376c1473
144b871cc
1532d39ea
hex22ad3a0

36361120 has 24 divisors (see below), whose sum is σ = 85903524. Its totient is φ = 14544384.

The previous prime is 36361103. The next prime is 36361123. The reversal of 36361120 is 2116363.

It can be written as a sum of positive squares in 2 ways, for example, as 36336784 + 24336 = 6028^2 + 156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36361091 and 36361100.

It is not an unprimeable number, because it can be changed into a prime (36361123) 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 3 ways as a sum of consecutive naturals, for example, 113469 + ... + 113788.

Almost surely, 236361120 is an apocalyptic number.

It is an amenable number.

36361120 is an abundant number, since it is smaller than the sum of its proper divisors (49542404).

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

36361120 is a wasteful number, since it uses less digits than its factorization.

36361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227272 (or 227264 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36361120 is about 6030.0182420951. The cubic root of 36361120 is about 331.2931202914.

Adding to 36361120 its reverse (2116363), we get a palindrome (38477483).

It can be divided in two parts, 36361 and 120, that added together give a square (36481 = 1912).

The spelling of 36361120 in words is "thirty-six million, three hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227257 454514 909028 1136285 1818056 2272570 3636112 4545140 7272224 9090280 18180560 36361120