Search a number
-
+
16205248 = 2623101109
BaseRepresentation
bin111101110100…
…010111000000
31010111022102101
4331310113000
513122031443
61335200144
7254512423
oct75642700
933438371
1016205248
119169274
125516054
133485107
14221b9ba
15165184d
hexf745c0

16205248 has 56 divisors (see below), whose sum is σ = 34198560. Its totient is φ = 7603200.

The previous prime is 16205243. The next prime is 16205249. The reversal of 16205248 is 84250261.

16205248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162052482 = 525220125483008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16205243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148618 + ... + 148726.

Almost surely, 216205248 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 16205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099280).

16205248 is an abundant number, since it is smaller than the sum of its proper divisors (17993312).

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

16205248 is a wasteful number, since it uses less digits than its factorization.

16205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 16205248 is about 4025.5742447507. The cubic root of 16205248 is about 253.0571196939.

The spelling of 16205248 in words is "sixteen million, two hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 109 184 202 218 368 404 436 736 808 872 1472 1616 1744 2323 2507 3232 3488 4646 5014 6464 6976 9292 10028 11009 18584 20056 22018 37168 40112 44036 74336 80224 88072 148672 160448 176144 253207 352288 506414 704576 1012828 2025656 4051312 8102624 16205248