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661320 = 2332511167
BaseRepresentation
bin10100001011101001000
31020121011100
42201131020
5132130240
622101400
75423022
oct2413510
91217140
10661320
11411950
1227a860
131a201a
14133012
15d0e30
hexa1748

661320 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 159360.

The previous prime is 661267. The next prime is 661321. The reversal of 661320 is 23166.

It is a happy number.

661320 is a `hidden beast` number, since 661 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 661293 and 661302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 661320.

It is not an unprimeable number, because it can be changed into a prime (661321) by changing a digit.

661320 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 23 ways as a sum of consecutive naturals, for example, 3877 + ... + 4043.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2661320 is an apocalyptic number.

661320 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 661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

661320 is an abundant number, since it is smaller than the sum of its proper divisors (1697400).

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

661320 is a wasteful number, since it uses less digits than its factorization.

661320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 661320 is about 813.2158385078. The cubic root of 661320 is about 87.1238821767.

Adding to 661320 its reverse (23166), we get a palindrome (684486).

The spelling of 661320 in words is "six hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 167 180 198 220 264 330 334 360 396 440 495 501 660 668 792 835 990 1002 1320 1336 1503 1670 1837 1980 2004 2505 3006 3340 3674 3960 4008 5010 5511 6012 6680 7348 7515 9185 10020 11022 12024 14696 15030 16533 18370 20040 22044 27555 30060 33066 36740 44088 55110 60120 66132 73480 82665 110220 132264 165330 220440 330660 661320