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10126288 = 241759631
BaseRepresentation
bin100110101000…
…001111010000
3201001110122201
4212220033100
510043020123
61001012544
7152033464
oct46501720
921043581
1010126288
115797037
123484154
1321371b3
1414b84a4
15d505ad
hex9a83d0

10126288 has 40 divisors (see below), whose sum is σ = 21159360. Its totient is φ = 4677120.

The previous prime is 10126267. The next prime is 10126301. The reversal of 10126288 is 88262101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15733 + ... + 16363.

It is an arithmetic number, because the mean of its divisors is an integer number (528984).

Almost surely, 210126288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579680).

10126288 is an abundant number, since it is smaller than the sum of its proper divisors (11033072).

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

10126288 is a wasteful number, since it uses less digits than its factorization.

10126288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 10126288 is about 3182.1828985776. The cubic root of 10126288 is about 216.3466085766.

Adding to 10126288 its reverse (88262101), we get a palindrome (98388389).

The spelling of 10126288 in words is "ten million, one hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 631 944 1003 1262 2006 2524 4012 5048 8024 10096 10727 16048 21454 37229 42908 74458 85816 148916 171632 297832 595664 632893 1265786 2531572 5063144 10126288