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16426368 = 27337297
BaseRepresentation
bin111110101010…
…010110000000
31010220112202000
4332222112000
513201120433
61344024000
7256423200
oct76522600
933815660
1016426368
1192aa412
125602000
13353195a
142278400
151697113
hexfaa580

16426368 has 192 divisors, whose sum is σ = 56977200. Its totient is φ = 4644864.

The previous prime is 16426357. The next prime is 16426381. The reversal of 16426368 is 86362461.

16426368 is a `hidden beast` number, since 1 + 642 + 6 + 3 + 6 + 8 = 666.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169296 + ... + 169392.

Almost surely, 216426368 is an apocalyptic number.

16426368 is a gapful number since it is divisible by the number (18) 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 16426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28488600).

16426368 is an abundant number, since it is smaller than the sum of its proper divisors (40550832).

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

16426368 is an equidigital number, since it uses as much as digits as its factorization.

16426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

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

The square root of 16426368 is about 4052.9455954898. The cubic root of 16426368 is about 254.2029089350.

The spelling of 16426368 in words is "sixteen million, four hundred twenty-six thousand, three hundred sixty-eight".