Search a number
-
+
10162160 = 245592153
BaseRepresentation
bin100110110000…
…111111110000
3201010021212022
4212300333300
510100142120
61001451012
7152243201
oct46607760
921107768
1010162160
115810a88
1234a0a68
13214a618
1414c75a8
15d5b025
hex9b0ff0

10162160 has 40 divisors (see below), whose sum is σ = 24038640. Its totient is φ = 3994112.

The previous prime is 10162157. The next prime is 10162177. The reversal of 10162160 is 6126101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (600966).

Almost surely, 210162160 is an apocalyptic number.

10162160 is a gapful number since it is divisible by the number (10) 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 10162160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019320).

10162160 is an abundant number, since it is smaller than the sum of its proper divisors (13876480).

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

10162160 is a wasteful number, since it uses less digits than its factorization.

10162160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10162160 is about 3187.8142982301. The cubic root of 10162160 is about 216.6017741232.

Adding to 10162160 its reverse (6126101), we get a palindrome (16288261).

The spelling of 10162160 in words is "ten million, one hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2153 2360 4306 4720 8612 10765 17224 21530 34448 43060 86120 127027 172240 254054 508108 635135 1016216 1270270 2032432 2540540 5081080 10162160