Search a number
-
+
10282272 = 25371113107
BaseRepresentation
bin100111001110…
…010100100000
3201100101121220
4213032110200
510113013042
61004215040
7153253320
oct47162440
921311556
1010282272
115893250
12353a480
1321901b0
141519280
15d818ec
hex9ce520

10282272 has 192 divisors, whose sum is σ = 36578304. Its totient is φ = 2442240.

The previous prime is 10282271. The next prime is 10282273. The reversal of 10282272 is 27228201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10282271) and next prime (10282273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10282271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96043 + ... + 96149.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 210282272 is an apocalyptic number.

10282272 is a gapful number since it is divisible by the number (12) 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 10282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

10282272 is an abundant number, since it is smaller than the sum of its proper divisors (26296032).

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

10282272 is a wasteful number, since it uses less digits than its factorization.

10282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10282272 is about 3206.5981974672. The cubic root of 10282272 is about 217.4518112293.

It can be divided in two parts, 10 and 282272, that added together give a palindrome (282282).

The spelling of 10282272 in words is "ten million, two hundred eighty-two thousand, two hundred seventy-two".