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10530256 = 2411194767
BaseRepresentation
bin101000001010…
…110111010000
3201210222210111
4220022313100
510143432011
61013411104
7155335312
oct50126720
921728714
1010530256
115a425a0
123639a94
132249029
1415817b2
15dd0121
hexa0add0

10530256 has 80 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 4371840.

The previous prime is 10530253. The next prime is 10530263. The reversal of 10530256 is 65203501.

It is a happy number.

It is a super-2 number, since 2×105302562 = 221772582851072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530253) 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, 157135 + ... + 157201.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 210530256 is an apocalyptic number.

10530256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

10530256 is an abundant number, since it is smaller than the sum of its proper divisors (13753904).

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

10530256 is a wasteful number, since it uses less digits than its factorization.

10530256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 10530256 is about 3245.0355930251. The cubic root of 10530256 is about 219.1860834399.

Adding to 10530256 its reverse (65203501), we get a palindrome (75733757).

The spelling of 10530256 in words is "ten million, five hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 47 67 76 88 94 134 152 176 188 209 268 304 376 418 517 536 737 752 836 893 1034 1072 1273 1474 1672 1786 2068 2546 2948 3149 3344 3572 4136 5092 5896 6298 7144 8272 9823 10184 11792 12596 14003 14288 19646 20368 25192 28006 34639 39292 50384 56012 59831 69278 78584 112024 119662 138556 157168 224048 239324 277112 478648 554224 658141 957296 1316282 2632564 5265128 10530256