Search a number
-
+
36010128 = 2437119743
BaseRepresentation
bin1000100101011…
…1100010010000
32111202111121110
42021113202100
533204311003
63323453320
7615036540
oct211274220
974674543
1036010128
1119365a40
1210087240
1375ca78b
144ad5320
153264a03
hex2257890

36010128 has 80 divisors (see below), whose sum is σ = 115992576. Its totient is φ = 9352320.

The previous prime is 36010109. The next prime is 36010129. The reversal of 36010128 is 82101063.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36010129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176 + ... + 8567.

Almost surely, 236010128 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 36010128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996288).

36010128 is an abundant number, since it is smaller than the sum of its proper divisors (79982448).

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

36010128 is a wasteful number, since it uses less digits than its factorization.

36010128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 36010128 is about 6000.8439406470. The cubic root of 36010128 is about 330.2236867261.

The spelling of 36010128 in words is "thirty-six million, ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 9743 19486 29229 38972 58458 68201 77944 107173 116916 136402 155888 204603 214346 233832 272804 321519 409206 428692 467664 545608 643038 750211 818412 857384 1091216 1286076 1500422 1636824 1714768 2250633 2572152 3000844 3273648 4501266 5144304 6001688 9002532 12003376 18005064 36010128