Search a number
-
+
107370 = 23251193
BaseRepresentation
bin11010001101101010
312110021200
4122031222
511413440
62145030
7625014
oct321552
9173250
10107370
117373a
1252176
1339b43
142b1b4
1521c30
hex1a36a

107370 has 24 divisors (see below), whose sum is σ = 279396. Its totient is φ = 28608.

The previous prime is 107357. The next prime is 107377. The reversal of 107370 is 73701.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 441 = 327^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107370.

It is not an unprimeable number, because it can be changed into a prime (107377) by changing a digit.

107370 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 686.

2107370 is an apocalyptic number.

107370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107370 is an abundant number, since it is smaller than the sum of its proper divisors (172026).

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

107370 is a wasteful number, since it uses less digits than its factorization.

107370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 107370 is about 327.6736181019. The cubic root of 107370 is about 47.5292525261.

The spelling of 107370 in words is "one hundred seven thousand, three hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1193 2386 3579 5965 7158 10737 11930 17895 21474 35790 53685 107370