Search a number
-
+
10887048 = 233453317
BaseRepresentation
bin101001100001…
…111110001000
3202111010020000
4221201332020
510241341143
61025203000
7161352444
oct51417610
922433200
1010887048
116166667
123790460
132342553
141635824
15e50bd3
hexa61f88

10887048 has 80 divisors (see below), whose sum is σ = 31167180. Its totient is φ = 3549312.

The previous prime is 10887047. The next prime is 10887049. The reversal of 10887048 is 84078801.

It is an interprime number because it is at equal distance from previous prime (10887047) and next prime (10887049).

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 272484 = 3258^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10887043) 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 19 ways as a sum of consecutive naturals, for example, 34186 + ... + 34502.

Almost surely, 210887048 is an apocalyptic number.

10887048 is a gapful number since it is divisible by the number (18) 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 10887048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583590).

10887048 is an abundant number, since it is smaller than the sum of its proper divisors (20280132).

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

10887048 is a wasteful number, since it uses less digits than its factorization.

10887048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10887048 is about 3299.5526969576. The cubic root of 10887048 is about 221.6341673826.

The spelling of 10887048 in words is "ten million, eight hundred eighty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 317 318 324 424 477 634 636 648 951 954 1268 1272 1431 1902 1908 2536 2853 2862 3804 3816 4293 5706 5724 7608 8559 8586 11412 11448 16801 17118 17172 22824 25677 33602 34236 34344 50403 51354 67204 68472 100806 102708 134408 151209 201612 205416 302418 403224 453627 604836 907254 1209672 1360881 1814508 2721762 3629016 5443524 10887048