Search a number
-
+
10898064 = 24352803
BaseRepresentation
bin101001100100…
…101010010000
3202111200100000
4221210222100
510242214224
61025330000
7161426532
oct51445220
922450300
1010898064
116173971
123796900
132347578
141639852
15e540c9
hexa64a90

10898064 has 60 divisors (see below), whose sum is σ = 31640336. Its totient is φ = 3631392.

The previous prime is 10898053. The next prime is 10898093. The reversal of 10898064 is 46089801.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2487 + ... + 5289.

Almost surely, 210898064 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 10898064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820168).

10898064 is an abundant number, since it is smaller than the sum of its proper divisors (20742272).

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

10898064 is an equidigital number, since it uses as much as digits as its factorization.

10898064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10898064 is about 3301.2215920777. The cubic root of 10898064 is about 221.7088952908.

The spelling of 10898064 in words is "ten million, eight hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2803 3888 5606 8409 11212 16818 22424 25227 33636 44848 50454 67272 75681 100908 134544 151362 201816 227043 302724 403632 454086 605448 681129 908172 1210896 1362258 1816344 2724516 3632688 5449032 10898064