Search a number
-
+
36040224 = 2531134129
BaseRepresentation
bin1000100101111…
…0111000100000
32111211000220010
42021132320200
533211241344
63324244520
7615223353
oct211367040
974730803
1036040224
1119386610
12100a0740
13760b39c
144b0229a
15326d8b9
hex225ee20

36040224 has 48 divisors (see below), whose sum is σ = 103209120. Its totient is φ = 10920960.

The previous prime is 36040219. The next prime is 36040229. The reversal of 36040224 is 42204063.

It is an interprime number because it is at equal distance from previous prime (36040219) and next prime (36040229).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36040224.

It is not an unprimeable number, because it can be changed into a prime (36040229) 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 7 ways as a sum of consecutive naturals, for example, 16009 + ... + 18120.

It is an arithmetic number, because the mean of its divisors is an integer number (2150190).

Almost surely, 236040224 is an apocalyptic number.

It is an amenable number.

36040224 is an abundant number, since it is smaller than the sum of its proper divisors (67168896).

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

36040224 is a wasteful number, since it uses less digits than its factorization.

36040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34153 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 36040224 is about 6003.3510641974. The cubic root of 36040224 is about 330.3156575612.

Adding to 36040224 its reverse (42204063), we get a palindrome (78244287).

The spelling of 36040224 in words is "thirty-six million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 34129 68258 102387 136516 204774 273032 375419 409548 546064 750838 819096 1092128 1126257 1501676 1638192 2252514 3003352 3276384 4505028 6006704 9010056 12013408 18020112 36040224