Search a number
-
+
10662256 = 2411292089
BaseRepresentation
bin101000101011…
…000101110000
3202001200212101
4220223011300
510212143011
61020310144
7156425203
oct50530560
922050771
1010662256
116022790
1236a2354
132294137
1415b793a
15e092c1
hexa2b170

10662256 has 40 divisors (see below), whose sum is σ = 23324400. Its totient is φ = 4677120.

The previous prime is 10662241. The next prime is 10662257. The reversal of 10662256 is 65226601.

It is a super-2 number, since 2×106622562 = 227367406019072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10662257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4060 + ... + 6148.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 210662256 is an apocalyptic number.

10662256 is a gapful number since it is divisible by the number (16) 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 10662256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662200).

10662256 is an abundant number, since it is smaller than the sum of its proper divisors (12662144).

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

10662256 is a wasteful number, since it uses less digits than its factorization.

10662256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10662256 is about 3265.3110112208. The cubic root of 10662256 is about 220.0981380341.

Adding to 10662256 its reverse (65226601), we get a palindrome (75888857).

It can be divided in two parts, 10 and 662256, that added together give a palindrome (662266).

The spelling of 10662256 in words is "ten million, six hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2089 2552 4178 5104 8356 16712 22979 33424 45958 60581 91916 121162 183832 242324 367664 484648 666391 969296 1332782 2665564 5331128 10662256