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10301248 = 26712267
BaseRepresentation
bin100111010010…
…111101000000
3201101100122201
4213102331000
510114114443
61004442544
7153362536
oct47227500
921340581
1010301248
1158a6531
123549454
132198a19
141522156
15d8734d
hex9d2f40

10301248 has 28 divisors (see below), whose sum is σ = 20738592. Its totient is φ = 5075840.

The previous prime is 10301243. The next prime is 10301251. The reversal of 10301248 is 84210301.

It is a super-2 number, since 2×103012482 = 212231420715008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3411 + ... + 5677.

It is an arithmetic number, because the mean of its divisors is an integer number (740664).

Almost surely, 210301248 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 10301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369296).

10301248 is an abundant number, since it is smaller than the sum of its proper divisors (10437344).

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

10301248 is an equidigital number, since it uses as much as digits as its factorization.

10301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10301248 is about 3209.5557324963. Note that the first 3 decimals coincide. The cubic root of 10301248 is about 217.5854986011.

Adding to 10301248 its reverse (84210301), we get a palindrome (94511549).

It can be divided in two parts, 1030 and 1248, that added together give a triangular number (2278 = T67).

The spelling of 10301248 in words is "ten million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2267 2272 4534 4544 9068 18136 36272 72544 145088 160957 321914 643828 1287656 2575312 5150624 10301248