Search a number
-
+
10959872 = 210711139
BaseRepresentation
bin101001110011…
…110000000000
3202121211010012
4221303300000
510301203442
61030524052
7162104660
oct51636000
922554105
1010959872
116206350
123806628
132369741
1416541a0
15e67582
hexa73c00

10959872 has 88 divisors (see below), whose sum is σ = 27511680. Its totient is φ = 4239360.

The previous prime is 10959847. The next prime is 10959887. The reversal of 10959872 is 27895901.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78779 + ... + 78917.

Almost surely, 210959872 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 10959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755840).

10959872 is an abundant number, since it is smaller than the sum of its proper divisors (16551808).

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

10959872 is a wasteful number, since it uses less digits than its factorization.

10959872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 10959872 is about 3310.5697394859. The cubic root of 10959872 is about 222.1272435597.

The spelling of 10959872 in words is "ten million, nine hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 139 154 176 224 256 278 308 352 448 512 556 616 704 896 973 1024 1112 1232 1408 1529 1792 1946 2224 2464 2816 3058 3584 3892 4448 4928 5632 6116 7168 7784 8896 9856 10703 11264 12232 15568 17792 19712 21406 24464 31136 35584 39424 42812 48928 62272 71168 78848 85624 97856 124544 142336 171248 195712 249088 342496 391424 498176 684992 782848 996352 1369984 1565696 2739968 5479936 10959872