Search a number
-
+
10616432 = 2417231697
BaseRepresentation
bin101000011111…
…111001110000
3201222101000012
4220133321300
510204211212
61015314052
7156144461
oct50377160
921871005
1010616432
115aa1312
12367b928
132279318
1415a4d68
15dea922
hexa1fe70

10616432 has 40 divisors (see below), whose sum is σ = 22739616. Its totient is φ = 4775936.

The previous prime is 10616423. The next prime is 10616453. The reversal of 10616432 is 23461601.

It is a happy number.

It is a super-2 number, since 2×106164322 = 225417256821248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 10616398 and 10616407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5408 + ... + 7104.

Almost surely, 210616432 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 10616432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369808).

10616432 is an abundant number, since it is smaller than the sum of its proper divisors (12123184).

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

10616432 is a wasteful number, since it uses less digits than its factorization.

10616432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10616432 is about 3258.2866663325. The cubic root of 10616432 is about 219.7823743257.

The spelling of 10616432 in words is "ten million, six hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 1697 3128 3394 6256 6788 13576 27152 28849 39031 57698 78062 115396 156124 230792 312248 461584 624496 663527 1327054 2654108 5308216 10616432