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10071048 = 233133191
BaseRepresentation
bin100110011010…
…110000001000
3200221122212210
4212122300020
510034233143
6555505120
7151413441
oct46326010
920848783
1010071048
115759589
1234581a0
132118000
1414a22c8
15d3e033
hex99ac08

10071048 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3082560.

The previous prime is 10071043. The next prime is 10071071. The reversal of 10071048 is 84017001.

It is not an unprimeable number, because it can be changed into a prime (10071043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52633 + ... + 52823.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 210071048 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 10071048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10071048 is an abundant number, since it is smaller than the sum of its proper divisors (17346552).

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

10071048 is a wasteful number, since it uses less digits than its factorization.

10071048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10071048 is about 3173.4914526433. The cubic root of 10071048 is about 215.9524929814.

Adding to 10071048 its reverse (84017001), we get a palindrome (94088049).

The spelling of 10071048 in words is "ten million, seventy-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 191 312 338 382 507 573 676 764 1014 1146 1352 1528 2028 2197 2292 2483 4056 4394 4584 4966 6591 7449 8788 9932 13182 14898 17576 19864 26364 29796 32279 52728 59592 64558 96837 129116 193674 258232 387348 419627 774696 839254 1258881 1678508 2517762 3357016 5035524 10071048