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10101056 = 26723221
BaseRepresentation
bin100110100010…
…000101000000
3201000012001012
4212202011000
510041213211
61000300052
7151600100
oct46420500
921005035
1010101056
11577a089
123471628
132128874
1414ad200
15d47d8b
hex9a2140

10101056 has 42 divisors (see below), whose sum is σ = 23324058. Its totient is φ = 4327680.

The previous prime is 10101023. The next prime is 10101079. The reversal of 10101056 is 65010101.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 614656 = 3080^2 + 784^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10101056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1526 + ... + 4746.

Almost surely, 210101056 is an apocalyptic number.

10101056 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 10101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662029).

10101056 is an abundant number, since it is smaller than the sum of its proper divisors (13223002).

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

10101056 is an equidigital number, since it uses as much as digits as its factorization.

10101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 10101056 is about 3178.2158517004. The cubic root of 10101056 is about 216.1667665023.

Adding to 10101056 its reverse (65010101), we get a palindrome (75111157).

The spelling of 10101056 in words is "ten million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3221 6442 12884 22547 25768 45094 51536 90188 103072 157829 180376 206144 315658 360752 631316 721504 1262632 1443008 2525264 5050528 10101056