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207940 = 22537281
BaseRepresentation
bin110010110001000100
3101120020111
4302301010
523123230
64242404
71524145
oct626104
9346214
10207940
11132257
12a0404
1373855
1455acc
154192a
hex32c44

207940 has 24 divisors (see below), whose sum is σ = 450072. Its totient is φ = 80640.

The previous prime is 207931. The next prime is 207941. The reversal of 207940 is 49702.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 133956 = 272^2 + 366^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (207941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (18753).

2207940 is an apocalyptic number.

207940 is a gapful number since it is divisible by the number (20) 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 207940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036).

207940 is an abundant number, since it is smaller than the sum of its proper divisors (242132).

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

207940 is a wasteful number, since it uses less digits than its factorization.

207940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 207940 is about 456.0043859438. The cubic root of 207940 is about 59.2442237124.

The spelling of 207940 in words is "two hundred seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 281 370 562 740 1124 1405 2810 5620 10397 20794 41588 51985 103970 207940