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188240 = 24513181
BaseRepresentation
bin101101111101010000
3100120012212
4231331100
522010430
64011252
71412543
oct557520
9316185
10188240
11119478
1290b28
13678b0
144c85a
153ab95
hex2df50

188240 has 40 divisors (see below), whose sum is σ = 473928. Its totient is φ = 69120.

The previous prime is 188197. The next prime is 188249. The reversal of 188240 is 42881.

188240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 179776 = 92^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188249) by changing a digit.

188240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950 + ... + 1130.

2188240 is an apocalyptic number.

188240 is a gapful number since it is divisible by the number (10) 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 188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964).

188240 is an abundant number, since it is smaller than the sum of its proper divisors (285688).

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

188240 is a wasteful number, since it uses less digits than its factorization.

188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 188240 is about 433.8663388649. The cubic root of 188240 is about 57.3109100463.

The spelling of 188240 in words is "one hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 181 208 260 362 520 724 905 1040 1448 1810 2353 2896 3620 4706 7240 9412 11765 14480 18824 23530 37648 47060 94120 188240