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130900 = 225271117
BaseRepresentation
bin11111111101010100
320122120011
4133331110
513142100
62450004
71053430
oct377524
9218504
10130900
118a390
1263904
1347773
14359c0
1528bba
hex1ff54

130900 has 72 divisors (see below), whose sum is σ = 374976. Its totient is φ = 38400.

The previous prime is 130873. The next prime is 130927. The reversal of 130900 is 9031.

130900 = 602 + 612 + ... + 842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130873) and next prime (130927).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7692 + ... + 7708.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2130900 is an apocalyptic number.

130900 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 130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

130900 is an abundant number, since it is smaller than the sum of its proper divisors (244076).

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

130900 is a wasteful number, since it uses less digits than its factorization.

130900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 130900 is about 361.8010503025. The cubic root of 130900 is about 50.7746044558.

Adding to 130900 its reverse (9031), we get a palindrome (139931).

The spelling of 130900 in words is "one hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 26180 32725 65450 130900