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10973248 = 2611213109
BaseRepresentation
bin101001110111…
…000001000000
3202122111110121
4221313001000
510302120443
61031110024
7162161656
oct51670100
922574417
1010973248
116215400
123812314
132372860
141658dd6
15e6b4ed
hexa77040

10973248 has 84 divisors (see below), whose sum is σ = 26012140. Its totient is φ = 4561920.

The previous prime is 10973243. The next prime is 10973251. The reversal of 10973248 is 84237901.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 6512704 = 2112^2 + 2552^2 .

It is not an unprimeable number, because it can be changed into a prime (10973243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100618 + ... + 100726.

Almost surely, 210973248 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 10973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006070).

10973248 is an abundant number, since it is smaller than the sum of its proper divisors (15038892).

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

10973248 is a wasteful number, since it uses less digits than its factorization.

10973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 10973248 is about 3312.5893195505. The cubic root of 10973248 is about 222.2175720508.

The spelling of 10973248 in words is "ten million, nine hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 109 121 143 176 208 218 242 286 352 416 436 484 572 704 832 872 968 1144 1199 1417 1573 1744 1936 2288 2398 2834 3146 3488 3872 4576 4796 5668 6292 6976 7744 9152 9592 11336 12584 13189 15587 19184 22672 25168 26378 31174 38368 45344 50336 52756 62348 76736 90688 100672 105512 124696 171457 211024 249392 342914 422048 498784 685828 844096 997568 1371656 2743312 5486624 10973248