Search a number
-
+
2010064 = 247131137
BaseRepresentation
bin111101010101111010000
310210010021211
413222233100
51003310224
6111025504
723041150
oct7525720
93703254
102010064
111153211
1280b294
13554bb4
143a4760
1529a894
hex1eabd0

2010064 has 40 divisors (see below), whose sum is σ = 4517568. Its totient is φ = 848640.

The previous prime is 2010061. The next prime is 2010083. The reversal of 2010064 is 4600102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010061) 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, 14604 + ... + 14740.

22010064 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 2010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258784).

2010064 is an abundant number, since it is smaller than the sum of its proper divisors (2507504).

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

2010064 is a wasteful number, since it uses less digits than its factorization.

2010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2010064 is about 1417.7672587558. The cubic root of 2010064 is about 126.2030822624.

Adding to 2010064 its reverse (4600102), we get a palindrome (6610166).

It can be divided in two parts, 20100 and 64, that added together give a square (20164 = 1422).

The spelling of 2010064 in words is "two million, ten thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 137 262 274 524 548 917 959 1048 1096 1834 1918 2096 2192 3668 3836 7336 7672 14672 15344 17947 35894 71788 125629 143576 251258 287152 502516 1005032 2010064