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1054248 = 2331331109
BaseRepresentation
bin100000001011000101000
31222120011020
410001120220
5232213443
634332440
711650416
oct4013050
91876136
101054248
11660088
1242a120
132abb20
141d62b6
1515c583
hex101628

1054248 has 64 divisors (see below), whose sum is σ = 2956800. Its totient is φ = 311040.

The previous prime is 1054247. The next prime is 1054259. The reversal of 1054248 is 8424501.

It is a super-2 number, since 2×10542482 = 2222877691008, which contains 22 as substring.

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1054243) 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, 9618 + ... + 9726.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

21054248 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 1054248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478400).

1054248 is an abundant number, since it is smaller than the sum of its proper divisors (1902552).

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

1054248 is a wasteful number, since it uses less digits than its factorization.

1054248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1054248 is about 1026.7657960801. The cubic root of 1054248 is about 101.7765195581.

Adding to 1054248 its reverse (8424501), we get a palindrome (9478749).

It can be divided in two parts, 105 and 4248, that multiplied together give a triangular number (446040 = T944).

The spelling of 1054248 in words is "one million, fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 109 124 156 186 218 248 312 327 372 403 436 654 744 806 872 1209 1308 1417 1612 2418 2616 2834 3224 3379 4251 4836 5668 6758 8502 9672 10137 11336 13516 17004 20274 27032 34008 40548 43927 81096 87854 131781 175708 263562 351416 527124 1054248