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10253034 = 2331141421
BaseRepresentation
bin100111000111…
…001011101010
3201021220112000
4213013023222
510111044114
61003431430
7153102141
oct47071352
921256460
1010253034
115873290
123525576
13217caac
14150c758
15d77e09
hex9c72ea

10253034 has 64 divisors (see below), whose sum is σ = 25522560. Its totient is φ = 3024000.

The previous prime is 10253029. The next prime is 10253053. The reversal of 10253034 is 43035201.

10253034 is a `hidden beast` number, since 102 + 530 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10252998 and 10253016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24144 + ... + 24564.

It is an arithmetic number, because the mean of its divisors is an integer number (398790).

Almost surely, 210253034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761280).

10253034 is an abundant number, since it is smaller than the sum of its proper divisors (15269526).

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

10253034 is a wasteful number, since it uses less digits than its factorization.

10253034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10253034 is about 3202.0359148517. The cubic root of 10253034 is about 217.2455049494.

Adding to 10253034 its reverse (43035201), we get a palindrome (53288235).

The spelling of 10253034 in words is "ten million, two hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 421 451 594 738 842 902 1107 1263 1353 2214 2526 2706 3789 4059 4631 7578 8118 9262 11367 12177 13893 17261 22734 24354 27786 34522 41679 51783 83358 103566 125037 155349 189871 250074 310698 379742 466047 569613 932094 1139226 1708839 3417678 5126517 10253034