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10026114 = 2372397107
BaseRepresentation
bin100110001111…
…110010000010
3200212101020120
4212033302002
510031313424
6554521110
7151135440
oct46176202
920771216
1010026114
11572884a
123436196
132100717
14148db90
15d30a79
hex98fc82

10026114 has 64 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 2686464.

The previous prime is 10026109. The next prime is 10026119. The reversal of 10026114 is 41162001.

It is an interprime number because it is at equal distance from previous prime (10026109) and next prime (10026119).

It is a junction number, because it is equal to n+sod(n) for n = 10026093 and 10026102.

It is not an unprimeable number, because it can be changed into a prime (10026119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93649 + ... + 93755.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 210026114 is an apocalyptic number.

10026114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

10026114 is an abundant number, since it is smaller than the sum of its proper divisors (14359422).

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

10026114 is a wasteful number, since it uses less digits than its factorization.

10026114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10026114 is about 3166.4039540147. The cubic root of 10026114 is about 215.6308423538.

Adding to 10026114 its reverse (41162001), we get a palindrome (51188115).

The spelling of 10026114 in words is "ten million, twenty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 107 138 161 194 214 291 321 322 483 582 642 679 749 966 1358 1498 2037 2231 2247 2461 4074 4462 4494 4922 6693 7383 10379 13386 14766 15617 17227 20758 31137 31234 34454 46851 51681 62274 72653 93702 103362 145306 217959 238717 435918 477434 716151 1432302 1671019 3342038 5013057 10026114