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662640 = 243511251
BaseRepresentation
bin10100001110001110000
31020122222020
42201301300
5132201030
622111440
75426616
oct2416160
91218866
10662640
11412940
1227b580
131a27c4
141336b6
15d1510
hexa1c70

662640 has 80 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 160000.

The previous prime is 662639. The next prime is 662647. The reversal of 662640 is 46266.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 662640.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 662640.

It is not an unprimeable number, because it can be changed into a prime (662647) 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, 2515 + ... + 2765.

2662640 is an apocalyptic number.

662640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

662640 is an abundant number, since it is smaller than the sum of its proper divisors (1587216).

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

662640 is a wasteful number, since it uses less digits than its factorization.

662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 662640 is about 814.0270265784. The cubic root of 662640 is about 87.1818103069.

It can be divided in two parts, 6626 and 40, that added together give a palindrome (6666).

The spelling of 662640 in words is "six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 251 264 330 440 502 528 660 753 880 1004 1255 1320 1506 2008 2510 2640 2761 3012 3765 4016 5020 5522 6024 7530 8283 10040 11044 12048 13805 15060 16566 20080 22088 27610 30120 33132 41415 44176 55220 60240 66264 82830 110440 132528 165660 220880 331320 662640