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16942464 = 2732711191
BaseRepresentation
bin100000010100…
…0010110000000
31011212202200200
41000220112000
513314124324
61403045200
7264002640
oct100502600
934782620
1016942464
119622140
125810800
133682836
142370520
151749ec9
hex1028580

16942464 has 192 divisors, whose sum is σ = 61102080. Its totient is φ = 4377600.

The previous prime is 16942463. The next prime is 16942481. The reversal of 16942464 is 46424961.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16942463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88609 + ... + 88799.

It is an arithmetic number, because the mean of its divisors is an integer number (318240).

Almost surely, 216942464 is an apocalyptic number.

16942464 is a gapful number since it is divisible by the number (14) 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 16942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

16942464 is an abundant number, since it is smaller than the sum of its proper divisors (44159616).

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

16942464 is a wasteful number, since it uses less digits than its factorization.

16942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16942464 is about 4116.1224471582. The cubic root of 16942464 is about 256.8377502951.

The spelling of 16942464 in words is "sixteen million, nine hundred forty-two thousand, four hundred sixty-four".