Search a number
-
+
64523000 = 2353113571
BaseRepresentation
bin1111011000100…
…0101011111000
311111102002220202
43312020223320
5113004214000
610222541332
71412302463
oct366105370
9144362822
1064523000
11334700a3
1219737848
13104a18b9
1487d82da
1559e7dd5
hex3d88af8

64523000 has 64 divisors (see below), whose sum is σ = 152586720. Its totient is φ = 25536000.

The previous prime is 64522987. The next prime is 64523003. The reversal of 64523000 is 32546.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64523003) 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, 112715 + ... + 113285.

Almost surely, 264523000 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 64523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76293360).

64523000 is an abundant number, since it is smaller than the sum of its proper divisors (88063720).

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

64523000 is a wasteful number, since it uses less digits than its factorization.

64523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 64523000 is about 8032.6209919303. The cubic root of 64523000 is about 401.0866287552.

Adding to 64523000 its reverse (32546), we get a palindrome (64555546).

The spelling of 64523000 in words is "sixty-four million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 571 904 1000 1130 1142 2260 2284 2825 2855 4520 4568 5650 5710 11300 11420 14125 14275 22600 22840 28250 28550 56500 57100 64523 71375 113000 114200 129046 142750 258092 285500 322615 516184 571000 645230 1290460 1613075 2580920 3226150 6452300 8065375 12904600 16130750 32261500 64523000