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10021248 = 27328699
BaseRepresentation
bin100110001110…
…100110000000
3200212010120100
4212032212000
510031134443
6554442400
7151115316
oct46164600
920763510
1010021248
115725126
123433400
1320cb443
14148c0b6
15d2e3d3
hex98e980

10021248 has 48 divisors (see below), whose sum is σ = 28840500. Its totient is φ = 3340032.

The previous prime is 10021247. The next prime is 10021259. The reversal of 10021248 is 84212001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100212482 = 200850822955008, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10021248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3198 + ... + 5501.

Almost surely, 210021248 is an apocalyptic number.

10021248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10021248 is an abundant number, since it is smaller than the sum of its proper divisors (18819252).

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

10021248 is an equidigital number, since it uses as much as digits as its factorization.

10021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10021248 is about 3165.6354812265. The cubic root of 10021248 is about 215.5959524828.

Adding to 10021248 its reverse (84212001), we get a palindrome (94233249).

The spelling of 10021248 in words is "ten million, twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8699 17398 26097 34796 52194 69592 78291 104388 139184 156582 208776 278368 313164 417552 556736 626328 835104 1113472 1252656 1670208 2505312 3340416 5010624 10021248