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36028104 = 23371911287
BaseRepresentation
bin1000100101101…
…1111011001000
32111210102021020
42021123323020
533210344404
63324112440
7615143130
oct211337310
974712236
1036028104
11193784a2
1210095720
137605a08
144adbac0
153269ed9
hex225bec8

36028104 has 64 divisors (see below), whose sum is σ = 108364800. Its totient is φ = 9751104.

The previous prime is 36028099. The next prime is 36028127. The reversal of 36028104 is 40182063.

36028104 = T97 + T98 + ... + T600.

It is a happy number.

36028104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (1693200).

Almost surely, 236028104 is an apocalyptic number.

It is an amenable number.

36028104 is an abundant number, since it is smaller than the sum of its proper divisors (72336696).

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

36028104 is a wasteful number, since it uses less digits than its factorization.

36028104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36028104 is about 6002.3415430980. The cubic root of 36028104 is about 330.2786260246.

The spelling of 36028104 in words is "thirty-six million, twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 11287 22574 33861 45148 67722 79009 90296 135444 158018 214453 237027 270888 316036 428906 474054 632072 643359 857812 948108 1286718 1501171 1715624 1896216 2573436 3002342 4503513 5146872 6004684 9007026 12009368 18014052 36028104