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207468 = 223317113
BaseRepresentation
bin110010101001101100
3101112121000
4302221230
523114333
64240300
71522602
oct625154
9345530
10207468
11131968
12a0090
1373581
1455872
1541713
hex32a6c

207468 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 64512.

The previous prime is 207463. The next prime is 207469. The reversal of 207468 is 864702.

207468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (207463) 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, 1780 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2207468 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 207468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

207468 is an abundant number, since it is smaller than the sum of its proper divisors (367092).

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

207468 is a wasteful number, since it uses less digits than its factorization.

207468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 207468 is about 455.4865530397. The cubic root of 207468 is about 59.1993638841.

The spelling of 207468 in words is "two hundred seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 113 153 204 226 306 339 452 459 612 678 918 1017 1356 1836 1921 2034 3051 3842 4068 5763 6102 7684 11526 12204 17289 23052 34578 51867 69156 103734 207468