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130968 = 233217107
BaseRepresentation
bin11111111110011000
320122122200
4133332120
513142333
62450200
71053555
oct377630
9218580
10130968
118a442
1263960
13477c6
1435a2c
1528c13
hex1ff98

130968 has 48 divisors (see below), whose sum is σ = 379080. Its totient is φ = 40704.

The previous prime is 130957. The next prime is 130969. The reversal of 130968 is 869031.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 1277.

2130968 is an apocalyptic number.

130968 is a gapful number since it is divisible by the number (18) 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 130968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540).

130968 is an abundant number, since it is smaller than the sum of its proper divisors (248112).

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

130968 is a wasteful number, since it uses less digits than its factorization.

130968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130968 is about 361.8950124000. The cubic root of 130968 is about 50.7833950731.

Adding to 130968 its reverse (869031), we get a palindrome (999999).

The spelling of 130968 in words is "one hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 136 153 204 214 306 321 408 428 612 642 856 963 1224 1284 1819 1926 2568 3638 3852 5457 7276 7704 10914 14552 16371 21828 32742 43656 65484 130968