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36190128 = 2431359983
BaseRepresentation
bin1000101000001…
…1011110110000
32112002122112010
42022003132300
533231041003
63331402520
7616416402
oct212033660
975078463
1036190128
11194791a7
1210153440
1376616a0
144b40b72
15329d003
hex22837b0

36190128 has 80 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 10935552.

The previous prime is 36190111. The next prime is 36190129. The reversal of 36190128 is 82109163.

It is a junction number, because it is equal to n+sod(n) for n = 36190095 and 36190104.

It is not an unprimeable number, because it can be changed into a prime (36190129) 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 15 ways as a sum of consecutive naturals, for example, 36325 + ... + 37307.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 236190128 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 36190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

36190128 is an abundant number, since it is smaller than the sum of its proper divisors (66303312).

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

36190128 is a wasteful number, since it uses less digits than its factorization.

36190128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 36190128 is about 6015.8231356981. The cubic root of 36190128 is about 330.7729905079.

The spelling of 36190128 in words is "thirty-six million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 983 1416 1534 1966 2301 2832 2949 3068 3932 4602 5898 6136 7864 9204 11796 12272 12779 15728 18408 23592 25558 36816 38337 47184 51116 57997 76674 102232 115994 153348 173991 204464 231988 306696 347982 463976 613392 695964 753961 927952 1391928 1507922 2261883 2783856 3015844 4523766 6031688 9047532 12063376 18095064 36190128