Search a number
-
+
36018640 = 245764319
BaseRepresentation
bin1000100101100…
…1100111010000
32111202221021201
42021121213100
533210044030
63324000544
7615103420
oct211314720
974687251
1036018640
1119371379
1210090154
137601608
144ad8480
1532672ca
hex22599d0

36018640 has 40 divisors (see below), whose sum is σ = 95708160. Its totient is φ = 12349056.

The previous prime is 36018613. The next prime is 36018643. The reversal of 36018640 is 4681063.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 36018599 and 36018608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36018643) 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, 31600 + ... + 32719.

It is an arithmetic number, because the mean of its divisors is an integer number (2392704).

Almost surely, 236018640 is an apocalyptic number.

It is an amenable number.

36018640 is an abundant number, since it is smaller than the sum of its proper divisors (59689520).

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

36018640 is a wasteful number, since it uses less digits than its factorization.

36018640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64339 (or 64333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36018640 is about 6001.5531323150. The cubic root of 36018640 is about 330.2497038749.

The spelling of 36018640 in words is "thirty-six million, eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 64319 128638 257276 321595 450233 514552 643190 900466 1029104 1286380 1800932 2251165 2572760 3601864 4502330 5145520 7203728 9004660 18009320 36018640