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107190 = 2335397
BaseRepresentation
bin11010001010110110
312110001000
4122022312
511412230
62144130
7624336
oct321266
9173030
10107190
1173596
1252046
1339a35
142b0c6
1521b60
hex1a2b6

107190 has 32 divisors (see below), whose sum is σ = 286560. Its totient is φ = 28512.

The previous prime is 107183. The next prime is 107197. The reversal of 107190 is 91701.

It is an interprime number because it is at equal distance from previous prime (107183) and next prime (107197).

It is a super-2 number, since 2×1071902 = 22979392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (8955).

2107190 is an apocalyptic number.

107190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143280).

107190 is an abundant number, since it is smaller than the sum of its proper divisors (179370).

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

107190 is a wasteful number, since it uses less digits than its factorization.

107190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107190 is about 327.3988393382. The cubic root of 107190 is about 47.5026775961.

Adding to 107190 its reverse (91701), we get a palindrome (198891).

The spelling of 107190 in words is "one hundred seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 397 794 1191 1985 2382 3573 3970 5955 7146 10719 11910 17865 21438 35730 53595 107190