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10630144 = 21071483
BaseRepresentation
bin101000100011…
…010000000000
3202000001211001
4220203100000
510210131034
61015501344
7156232450
oct50432000
922001731
1010630144
116000648
123687854
132282635
1415a9d60
15deea14
hexa23400

10630144 has 44 divisors (see below), whose sum is σ = 24301984. Its totient is φ = 4552704.

The previous prime is 10630141. The next prime is 10630171. The reversal of 10630144 is 44103601.

It is a happy number.

It is a super-2 number, since 2×106301442 = 225999922921472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10630141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6427 + ... + 7909.

Almost surely, 210630144 is an apocalyptic number.

10630144 is a gapful number since it is divisible by the number (14) 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 10630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150992).

10630144 is an abundant number, since it is smaller than the sum of its proper divisors (13671840).

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

10630144 is an equidigital number, since it uses as much as digits as its factorization.

10630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10630144 is about 3260.3901607016. The cubic root of 10630144 is about 219.8769559888.

Adding to 10630144 its reverse (44103601), we get a palindrome (54733745).

The spelling of 10630144 in words is "ten million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1483 1792 2966 3584 5932 7168 10381 11864 20762 23728 41524 47456 83048 94912 166096 189824 332192 379648 664384 759296 1328768 1518592 2657536 5315072 10630144