Search a number
-
+
663245920 = 255191072039
BaseRepresentation
bin100111100010000…
…101010001100000
31201020000101100201
4213202011101200
52324242332140
6145451354544
722302332401
oct4742052140
91636011321
10663245920
11310426527
12166152a54
13a754110c
146412b9a8
153d36249a
hex27885460

663245920 has 96 divisors (see below), whose sum is σ = 1665619200. Its totient is φ = 248864256.

The previous prime is 663245911. The next prime is 663245923. The reversal of 663245920 is 29542366.

It is a self number, because there is not a number n which added to its sum of digits gives 663245920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663245923) 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 15 ways as a sum of consecutive naturals, for example, 324261 + ... + 326299.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2663245920 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 663245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

663245920 is an abundant number, since it is smaller than the sum of its proper divisors (1002373280).

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

663245920 is a wasteful number, since it uses less digits than its factorization.

663245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 663245920 is about 25753.5613071280. The cubic root of 663245920 is about 872.0837531428.

The spelling of 663245920 in words is "six hundred sixty-three million, two hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 107 152 160 190 214 304 380 428 535 608 760 856 1070 1520 1712 2033 2039 2140 3040 3424 4066 4078 4280 8132 8156 8560 10165 10195 16264 16312 17120 20330 20390 32528 32624 38741 40660 40780 65056 65248 77482 81320 81560 154964 162640 163120 193705 218173 309928 325280 326240 387410 436346 619856 774820 872692 1090865 1239712 1549640 1745384 2181730 3099280 3490768 4145287 4363460 6198560 6981536 8290574 8726920 16581148 17453840 20726435 33162296 34907680 41452870 66324592 82905740 132649184 165811480 331622960 663245920