Search a number
-
+
36028160 = 28574021
BaseRepresentation
bin1000100101101…
…1111100000000
32111210102100022
42021123330000
533210400120
63324113012
7615143240
oct211337400
974712308
1036028160
1119378543
1210095768
137605a4c
144adbb20
15326a025
hex225bf00

36028160 has 72 divisors (see below), whose sum is σ = 98651616. Its totient is φ = 12349440.

The previous prime is 36028133. The next prime is 36028171. The reversal of 36028160 is 6182063.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6950 + ... + 10970.

Almost surely, 236028160 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 36028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49325808).

36028160 is an abundant number, since it is smaller than the sum of its proper divisors (62623456).

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

36028160 is an equidigital number, since it uses as much as digits as its factorization.

36028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36028160 is about 6002.3462079424. The cubic root of 36028160 is about 330.2787971465.

The spelling of 36028160 in words is "thirty-six million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4021 4480 8042 8960 16084 20105 28147 32168 40210 56294 64336 80420 112588 128672 140735 160840 225176 257344 281470 321680 450352 514688 562940 643360 900704 1029376 1125880 1286720 1801408 2251760 2573440 3602816 4503520 5146880 7205632 9007040 18014080 36028160