Search a number
-
+
2417130 = 2325107251
BaseRepresentation
bin1001001110000111101010
311112210200100
421032013222
51104322010
6123450230
726355012
oct11160752
94483610
102417130
111401031
12986976
13668271
1446cc42
1532b2c0
hex24e1ea

2417130 has 48 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 636000.

The previous prime is 2417119. The next prime is 2417131. The reversal of 2417130 is 317142.

2417130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2417131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9505 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

22417130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2417130 is an abundant number, since it is smaller than the sum of its proper divisors (3951414).

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

2417130 is a wasteful number, since it uses less digits than its factorization.

2417130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2417130 is about 1554.7121920150. The cubic root of 2417130 is about 134.2043736632.

The spelling of 2417130 in words is "two million, four hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 251 321 502 535 642 753 963 1070 1255 1506 1605 1926 2259 2510 3210 3765 4518 4815 7530 9630 11295 22590 26857 53714 80571 134285 161142 241713 268570 402855 483426 805710 1208565 2417130