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207400 = 23521761
BaseRepresentation
bin110010101000101000
3101112111111
4302220220
523114100
64240104
71522444
oct625050
9345444
10207400
11131906
12a0034
137352b
1455824
15416ba
hex32a28

207400 has 48 divisors (see below), whose sum is σ = 518940. Its totient is φ = 76800.

The previous prime is 207377. The next prime is 207401. The reversal of 207400 is 4702.

It can be written as a sum of positive squares in 6 ways, for example, as 45796 + 161604 = 214^2 + 402^2 .

It is not an unprimeable number, because it can be changed into a prime (207401) by changing a digit.

207400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3370 + ... + 3430.

2207400 is an apocalyptic number.

207400 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 207400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259470).

207400 is an abundant number, since it is smaller than the sum of its proper divisors (311540).

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

207400 is a wasteful number, since it uses less digits than its factorization.

207400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 207400 is about 455.4119014694. The cubic root of 207400 is about 59.1928954221.

The spelling of 207400 in words is "two hundred seven thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 136 170 200 244 305 340 425 488 610 680 850 1037 1220 1525 1700 2074 2440 3050 3400 4148 5185 6100 8296 10370 12200 20740 25925 41480 51850 103700 207400