Search a number
-
+
10170120 = 233584751
BaseRepresentation
bin100110110010…
…111100001000
3201010200210010
4212302330020
510100420440
61001551520
7152305332
oct46627410
921120703
1010170120
115816a64
1234a55a0
13215112c
1414ca452
15d5d580
hex9b2f08

10170120 has 32 divisors (see below), whose sum is σ = 30510720. Its totient is φ = 2712000.

The previous prime is 10170109. The next prime is 10170137. The reversal of 10170120 is 2107101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10170096 and 10170105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42256 + ... + 42495.

It is an arithmetic number, because the mean of its divisors is an integer number (953460).

Almost surely, 210170120 is an apocalyptic number.

10170120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10170120 is an abundant number, since it is smaller than the sum of its proper divisors (20340600).

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

10170120 is a wasteful number, since it uses less digits than its factorization.

10170120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84765 (or 84761 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10170120 is about 3189.0625581823. The cubic root of 10170120 is about 216.6583139449.

Adding to 10170120 its reverse (2107101), we get a palindrome (12277221).

The spelling of 10170120 in words is "ten million, one hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84751 169502 254253 339004 423755 508506 678008 847510 1017012 1271265 1695020 2034024 2542530 3390040 5085060 10170120