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103530 = 23571729
BaseRepresentation
bin11001010001101010
312021000110
4121101222
511303110
62115150
7610560
oct312152
9167013
10103530
1170869
124bab6
133817b
1429a30
1520a20
hex1946a

103530 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 21504.

The previous prime is 103529. The next prime is 103549. The reversal of 103530 is 35301.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556 + ... + 3584.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2103530 is an apocalyptic number.

103530 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 103530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

103530 is an abundant number, since it is smaller than the sum of its proper divisors (207510).

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

103530 is a wasteful number, since it uses less digits than its factorization.

103530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 103530 is about 321.7607807052. The cubic root of 103530 is about 46.9557452755.

Adding to 103530 its reverse (35301), we get a palindrome (138831).

The spelling of 103530 in words is "one hundred three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 29 30 34 35 42 51 58 70 85 87 102 105 119 145 170 174 203 210 238 255 290 357 406 435 493 510 595 609 714 870 986 1015 1190 1218 1479 1785 2030 2465 2958 3045 3451 3570 4930 6090 6902 7395 10353 14790 17255 20706 34510 51765 103530