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660400 = 245213127
BaseRepresentation
bin10100001001110110000
31020112220021
42201032300
5132113100
622053224
75420236
oct2411660
91215807
10660400
11411194
1227a214
131a1790
14132956
15d0a1a
hexa13b0

660400 has 60 divisors (see below), whose sum is σ = 1722112. Its totient is φ = 241920.

The previous prime is 660391. The next prime is 660403. The reversal of 660400 is 4066.

It is a super-2 number, since 2×6604002 = 872256320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660403) by changing a digit.

660400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137 + ... + 5263.

2660400 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 660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861056).

660400 is an abundant number, since it is smaller than the sum of its proper divisors (1061712).

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

660400 is a wasteful number, since it uses less digits than its factorization.

660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 660400 is about 812.6499861564. The cubic root of 660400 is about 87.0834624256.

Adding to 660400 its reverse (4066), we get a palindrome (664466).

It can be divided in two parts, 6 and 60400, that added together give a palindrome (60406).

The spelling of 660400 in words is "six hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 127 130 200 208 254 260 325 400 508 520 635 650 1016 1040 1270 1300 1651 2032 2540 2600 3175 3302 5080 5200 6350 6604 8255 10160 12700 13208 16510 25400 26416 33020 41275 50800 66040 82550 132080 165100 330200 660400