Search a number
-
+
16423680 = 283571347
BaseRepresentation
bin111110101001…
…101100000000
31010220102001110
4332221230000
513201024210
61344003320
7256412310
oct76515400
933812043
1016423680
1192a8399
125600540
133530670
142277440
151696420
hexfa9b00

16423680 has 288 divisors, whose sum is σ = 65931264. Its totient is φ = 3391488.

The previous prime is 16423663. The next prime is 16423681. The reversal of 16423680 is 8632461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16423681) 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 31 ways as a sum of consecutive naturals, for example, 349417 + ... + 349463.

It is an arithmetic number, because the mean of its divisors is an integer number (228928).

Almost surely, 216423680 is an apocalyptic number.

16423680 is a gapful number since it is divisible by the number (10) 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 16423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

16423680 is an abundant number, since it is smaller than the sum of its proper divisors (49507584).

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

16423680 is a wasteful number, since it uses less digits than its factorization.

16423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16423680 is about 4052.6139712536. The cubic root of 16423680 is about 254.1890423133.

The spelling of 16423680 in words is "sixteen million, four hundred twenty-three thousand, six hundred eighty".