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10090248 = 2337173533
BaseRepresentation
bin100110011111…
…011100001000
3200222122012220
4212133130020
510040341443
61000134040
7151523430
oct46373410
920878186
1010090248
115771a53
123467320
13212397c
1414a92c0
15d44a83
hex99f708

10090248 has 64 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2712576.

The previous prime is 10090247. The next prime is 10090253. The reversal of 10090248 is 84209001.

10090248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10090247) 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, 1090 + ... + 4622.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 210090248 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 10090248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

10090248 is an abundant number, since it is smaller than the sum of its proper divisors (20443512).

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

10090248 is a wasteful number, since it uses less digits than its factorization.

10090248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10090248 is about 3176.5150715840. The cubic root of 10090248 is about 216.0896404345.

Adding to 10090248 its reverse (84209001), we get a palindrome (94299249).

The spelling of 10090248 in words is "ten million, ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 3533 7066 10599 14132 21198 24731 28264 42396 49462 60061 74193 84792 98924 120122 148386 180183 197848 240244 296772 360366 420427 480488 593544 720732 840854 1261281 1441464 1681708 2522562 3363416 5045124 10090248