Search a number
-
+
36036640 = 255792851
BaseRepresentation
bin1000100101111…
…0000000100000
32111210211222101
42021132000200
533211133030
63324220144
7615210043
oct211360040
974724871
1036036640
1119383952
121009a654
137609873
144b00c5a
15326c7ca
hex225e020

36036640 has 48 divisors (see below), whose sum is σ = 86244480. Its totient is φ = 14227200.

The previous prime is 36036613. The next prime is 36036643. The reversal of 36036640 is 4663063.

It is a junction number, because it is equal to n+sod(n) for n = 36036599 and 36036608.

It is not an unprimeable number, because it can be changed into a prime (36036643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11215 + ... + 14065.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 236036640 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 36036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

36036640 is an abundant number, since it is smaller than the sum of its proper divisors (50207840).

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

36036640 is a wasteful number, since it uses less digits than its factorization.

36036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 36036640 is about 6003.0525568247. The cubic root of 36036640 is about 330.3047078461.

The spelling of 36036640 in words is "thirty-six million, thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 2851 3160 5702 6320 11404 12640 14255 22808 28510 45616 57020 91232 114040 225229 228080 450458 456160 900916 1126145 1801832 2252290 3603664 4504580 7207328 9009160 18018320 36036640