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207368 = 2372232
BaseRepresentation
bin110010101000001000
3101112110022
4302220020
523113433
64240012
71522400
oct625010
9345408
10207368
11131887
12a0008
1373505
1455800
1541698
hex32a08

207368 has 36 divisors (see below), whose sum is σ = 472815. Its totient is φ = 85008.

The previous prime is 207367. The next prime is 207371. The reversal of 207368 is 863702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 103684 = 322^2 + 322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=322.

It is not an unprimeable number, because it can be changed into a prime (207367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9005 + ... + 9027.

2207368 is an apocalyptic number.

207368 is a gapful number since it is divisible by the number (28) 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 207368

207368 is an abundant number, since it is smaller than the sum of its proper divisors (265447).

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

207368 is a wasteful number, since it uses less digits than its factorization.

207368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 207368 is about 455.3767670841. The cubic root of 207368 is about 59.1898509507.

It can be divided in two parts, 207 and 368, that multiplied together give a square (76176 = 2762).

The spelling of 207368 in words is "two hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 529 644 1058 1127 1288 2116 2254 3703 4232 4508 7406 9016 14812 25921 29624 51842 103684 207368