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130200 = 23352731
BaseRepresentation
bin11111110010011000
320121121020
4133302120
513131300
62442440
71051410
oct376230
9217536
10130200
1189904
1263420
1347355
1435640
15288a0
hex1fc98

130200 has 96 divisors (see below), whose sum is σ = 476160. Its totient is φ = 28800.

The previous prime is 130199. The next prime is 130201. The reversal of 130200 is 2031.

It is an interprime number because it is at equal distance from previous prime (130199) and next prime (130201).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4185 + ... + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2130200 is an apocalyptic number.

130200 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 130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

130200 is an abundant number, since it is smaller than the sum of its proper divisors (345960).

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

130200 is a wasteful number, since it uses less digits than its factorization.

130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 130200 is about 360.8323710534. The cubic root of 130200 is about 50.6839353264.

Adding to 130200 its reverse (2031), we get a palindrome (132231).

The spelling of 130200 in words is "one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 31 35 40 42 50 56 60 62 70 75 84 93 100 105 120 124 140 150 155 168 175 186 200 210 217 248 280 300 310 350 372 420 434 465 525 600 620 651 700 744 775 840 868 930 1050 1085 1240 1302 1400 1550 1736 1860 2100 2170 2325 2604 3100 3255 3720 4200 4340 4650 5208 5425 6200 6510 8680 9300 10850 13020 16275 18600 21700 26040 32550 43400 65100 130200