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36052128 = 253471987
BaseRepresentation
bin1000100110000…
…1110010100000
32111211122020000
42021201302200
533212132003
63324420000
7615303150
oct211416240
974748200
1036052128
1119394552
12100a7600
137613928
144b06760
1532721a3
hex2261ca0

36052128 has 120 divisors (see below), whose sum is σ = 121236192. Its totient is φ = 10295424.

The previous prime is 36052099. The next prime is 36052151. The reversal of 36052128 is 82125063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17151 + ... + 19137.

Almost surely, 236052128 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 36052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60618096).

36052128 is an abundant number, since it is smaller than the sum of its proper divisors (85184064).

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

36052128 is a wasteful number, since it uses less digits than its factorization.

36052128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36052128 is about 6004.3424286095. The cubic root of 36052128 is about 330.3520210491.

The spelling of 36052128 in words is "thirty-six million, fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 1987 2016 2268 2592 3024 3974 4536 5961 6048 7948 9072 11922 13909 15896 17883 18144 23844 27818 31792 35766 41727 47688 53649 55636 63584 71532 83454 95376 107298 111272 125181 143064 160947 166908 190752 214596 222544 250362 286128 321894 333816 375543 429192 445088 500724 572256 643788 667632 751086 858384 1001448 1126629 1287576 1335264 1502172 1716768 2002896 2253258 2575152 3004344 4005792 4506516 5150304 6008688 9013032 12017376 18026064 36052128