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312130 = 257413
BaseRepresentation
bin1001100001101000010
3120212011101
41030031002
534442010
610405014
72440000
oct1141502
9525141
10312130
111a3565
1213076a
13ac0c0
1481a70
156273a
hex4c342

312130 has 40 divisors (see below), whose sum is σ = 705852. Its totient is φ = 98784.

The previous prime is 312121. The next prime is 312161. The reversal of 312130 is 31213.

It can be written as a sum of positive squares in 2 ways, for example, as 290521 + 21609 = 539^2 + 147^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

312130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24004 + ... + 24016.

2312130 is an apocalyptic number.

312130 is an abundant number, since it is smaller than the sum of its proper divisors (393722).

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

312130 is an equidigital number, since it uses as much as digits as its factorization.

312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 312130 is about 558.6859582986. The cubic root of 312130 is about 67.8336475840.

312130 divided by its sum of digits (10) gives a palindrome (31213).

Adding to 312130 its reverse (31213), we get a palindrome (343343).

The spelling of 312130 in words is "three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 343 455 490 637 686 910 1274 1715 2401 3185 3430 4459 4802 6370 8918 12005 22295 24010 31213 44590 62426 156065 312130