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14000778 = 23211312281
BaseRepresentation
bin110101011010…
…001010001010
3222100022110100
4311122022022
512041011103
61220030230
7230001411
oct65321212
928308410
1014000778
1179a2aa0
124832376
132b928ac
141c06478
1513685a3
hexd5a28a

14000778 has 48 divisors (see below), whose sum is σ = 34175232. Its totient is φ = 4104000.

The previous prime is 14000771. The next prime is 14000801. The reversal of 14000778 is 87700041.

It is a super-3 number, since 3×140007783 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14000771) 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 23 ways as a sum of consecutive naturals, for example, 4998 + ... + 7278.

It is an arithmetic number, because the mean of its divisors is an integer number (711984).

Almost surely, 214000778 is an apocalyptic number.

14000778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14000778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087616).

14000778 is an abundant number, since it is smaller than the sum of its proper divisors (20174454).

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

14000778 is a wasteful number, since it uses less digits than its factorization.

14000778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 14000778 is about 3741.7613499527. The cubic root of 14000778 is about 241.0186908364.

The spelling of 14000778 in words is "fourteen million, seven hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 2281 3069 4562 6138 6843 13686 20529 25091 41058 50182 70711 75273 141422 150546 212133 225819 424266 451638 636399 777821 1272798 1555642 2333463 4666926 7000389 14000778