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130977 = 357211
BaseRepresentation
bin11111111110100001
320122200000
4133332201
513142402
62450213
71053600
oct377641
9218600
10130977
118a450
1263969
1347802
1435a37
1528c1c
hex1ffa1

130977 has 36 divisors (see below), whose sum is σ = 248976. Its totient is φ = 68040.

The previous prime is 130973. The next prime is 130981. The reversal of 130977 is 779031.

It is an interprime number because it is at equal distance from previous prime (130973) and next prime (130981).

It is not a de Polignac number, because 130977 - 22 = 130973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

130977 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 130977.

It is not an unprimeable number, because it can be changed into a prime (130973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11902 + ... + 11912.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2130977 is an apocalyptic number.

It is an amenable number.

130977 is a deficient number, since it is larger than the sum of its proper divisors (117999).

130977 is an equidigital number, since it uses as much as digits as its factorization.

130977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 130977 is about 361.9074467319. The cubic root of 130977 is about 50.7845583091.

130977 divided by its sum of digits (27) gives a triangular number (4851 = T98).

130977 divided by its product of nonzero digits (1323) gives a palindrome (99).

The spelling of 130977 in words is "one hundred thirty thousand, nine hundred seventy-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 243 297 441 539 567 693 891 1323 1617 1701 2079 2673 3969 4851 6237 11907 14553 18711 43659 130977