Search a number
-
+
245517060 = 223517214159
BaseRepresentation
bin11101010001001…
…00101100000100
3122002222120002110
432220210230010
51000323021220
640210141020
76040601115
oct1650445404
9562876073
10245517060
11116651668
126a281770
133bb33089
142487020c
151684abe0
hexea24b04

245517060 has 72 divisors (see below), whose sum is σ = 730316160. Its totient is φ = 61615616.

The previous prime is 245517059. The next prime is 245517067. The reversal of 245517060 is 60715542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245517067) 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, 10261 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (10143280).

Almost surely, 2245517060 is an apocalyptic number.

245517060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245517060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365158080).

245517060 is an abundant number, since it is smaller than the sum of its proper divisors (484799100).

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

245517060 is a wasteful number, since it uses less digits than its factorization.

245517060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14205 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 245517060 is about 15668.9840130112. The cubic root of 245517060 is about 626.1723574166.

The spelling of 245517060 in words is "two hundred forty-five million, five hundred seventeen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 14159 17340 28318 42477 56636 70795 84954 141590 169908 212385 240703 283180 424770 481406 722109 849540 962812 1203515 1444218 2407030 2888436 3610545 4091951 4814060 7221090 8183902 12275853 14442180 16367804 20459755 24551706 40919510 49103412 61379265 81839020 122758530 245517060