Search a number
-
+
10026020 = 22531103157
BaseRepresentation
bin100110001111…
…110000100100
3200212101010002
4212033300210
510031313040
6554520432
7151135244
oct46176044
920771102
1010026020
115728774
123436118
132100674
14148db24
15d30a15
hex98fc24

10026020 has 48 divisors (see below), whose sum is σ = 22084608. Its totient is φ = 3818880.

The previous prime is 10026019. The next prime is 10026031. The reversal of 10026020 is 2062001.

It is a junction number, because it is equal to n+sod(n) for n = 10025992 and 10026010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63782 + ... + 63938.

It is an arithmetic number, because the mean of its divisors is an integer number (460096).

Almost surely, 210026020 is an apocalyptic number.

10026020 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 10026020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042304).

10026020 is an abundant number, since it is smaller than the sum of its proper divisors (12058588).

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

10026020 is a wasteful number, since it uses less digits than its factorization.

10026020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10026020 is about 3166.3891106432. The cubic root of 10026020 is about 215.6301684681.

Adding to 10026020 its reverse (2062001), we get a palindrome (12088021).

The spelling of 10026020 in words is "ten million, twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 157 206 310 314 412 515 620 628 785 1030 1570 2060 3140 3193 4867 6386 9734 12772 15965 16171 19468 24335 31930 32342 48670 63860 64684 80855 97340 161710 323420 501301 1002602 2005204 2506505 5013010 10026020