Search a number
-
+
36064764 = 2234791409
BaseRepresentation
bin1000100110010…
…0110111111100
32111212021120000
42021210313330
533213033024
63324554300
7615355041
oct211446774
974767500
1036064764
11193a2a9a
12100b2990
1376195c8
144b0b1c8
153275cc9
hex2264dfc

36064764 has 60 divisors (see below), whose sum is σ = 95541600. Its totient is φ = 11860992.

The previous prime is 36064757. The next prime is 36064771. The reversal of 36064764 is 46746063.

36064764 is a `hidden beast` number, since 3 + 6 + 0 + 647 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36064757) and next prime (36064771).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24892 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (1592360).

Almost surely, 236064764 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 36064764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47770800).

36064764 is an abundant number, since it is smaller than the sum of its proper divisors (59476836).

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

36064764 is a wasteful number, since it uses less digits than its factorization.

36064764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 36064764 is about 6005.3945748802. The cubic root of 36064764 is about 330.3906118413.

The spelling of 36064764 in words is "thirty-six million, sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1409 1422 2133 2818 2844 4227 4266 5636 6399 8454 8532 12681 12798 16908 25362 25596 38043 50724 76086 111311 114129 152172 222622 228258 333933 445244 456516 667866 1001799 1335732 2003598 3005397 4007196 6010794 9016191 12021588 18032382 36064764