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207320352 = 25316313249
BaseRepresentation
bin11000101101101…
…11010100100000
3112110002222001120
430112313110200
5411033222402
632323332240
75065123341
oct1426672440
9473088046
10207320352
11a7032938
1259521080
1333c4b285
141d76a0c8
15133033bc
hexc5b7520

207320352 has 48 divisors (see below), whose sum is σ = 547596000. Its totient is φ = 68677632.

The previous prime is 207320339. The next prime is 207320353. The reversal of 207320352 is 253023702.

207320352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2073203523 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (207320353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9024 + ... + 22272.

It is an arithmetic number, because the mean of its divisors is an integer number (11408250).

Almost surely, 2207320352 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 207320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273798000).

207320352 is an abundant number, since it is smaller than the sum of its proper divisors (340275648).

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

207320352 is a wasteful number, since it uses less digits than its factorization.

207320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13425 (or 13417 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 207320352 is about 14398.6232675211. The cubic root of 207320352 is about 591.8531715241.

The spelling of 207320352 in words is "two hundred seven million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 13249 15648 26498 39747 52996 79494 105992 158988 211984 317976 423968 635952 1271904 2159587 4319174 6478761 8638348 12957522 17276696 25915044 34553392 51830088 69106784 103660176 207320352