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16426000 = 245343191
BaseRepresentation
bin111110101010…
…010000010000
31010220112020101
4332222100100
513201113000
61344022144
7256422133
oct76522020
933815211
1016426000
1192aa108
125601954
133531736
14227821a
151696e6a
hexfaa410

16426000 has 80 divisors (see below), whose sum is σ = 40854528. Its totient is φ = 6384000.

The previous prime is 16425991. The next prime is 16426009. The reversal of 16426000 is 62461.

It is an interprime number because it is at equal distance from previous prime (16425991) and next prime (16426009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16426009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85905 + ... + 86095.

Almost surely, 216426000 is an apocalyptic number.

16426000 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 16426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264).

16426000 is an abundant number, since it is smaller than the sum of its proper divisors (24428528).

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

16426000 is a wasteful number, since it uses less digits than its factorization.

16426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16426000 is about 4052.9001961558. The cubic root of 16426000 is about 254.2010106178.

Adding to 16426000 its reverse (62461), we get a palindrome (16488461).

The spelling of 16426000 in words is "sixteen million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 191 200 215 250 344 382 400 430 500 688 764 860 955 1000 1075 1528 1720 1910 2000 2150 3056 3440 3820 4300 4775 5375 7640 8213 8600 9550 10750 15280 16426 17200 19100 21500 23875 32852 38200 41065 43000 47750 65704 76400 82130 86000 95500 131408 164260 191000 205325 328520 382000 410650 657040 821300 1026625 1642600 2053250 3285200 4106500 8213000 16426000