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14276200 = 2352411741
BaseRepresentation
bin110110011101…
…011001101000
3222212022021011
4312131121220
512123314300
61225553304
7232226401
oct66353150
928768234
1014276200
118070a14
124945834
132c5b073
141c789a8
1513beeba
hexd9d668

14276200 has 48 divisors (see below), whose sum is σ = 34021260. Its totient is φ = 5568000.

The previous prime is 14276189. The next prime is 14276219. The reversal of 14276200 is 267241.

It can be written as a sum of positive squares in 6 ways, for example, as 2916 + 14273284 = 54^2 + 3778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7330 + ... + 9070.

Almost surely, 214276200 is an apocalyptic number.

14276200 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 14276200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010630).

14276200 is an abundant number, since it is smaller than the sum of its proper divisors (19745060).

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

14276200 is a wasteful number, since it uses less digits than its factorization.

14276200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 14276200 is about 3778.3858987668. The cubic root of 14276200 is about 242.5888716669.

The spelling of 14276200 in words is "fourteen million, two hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1741 2050 3482 4100 6964 8200 8705 13928 17410 34820 43525 69640 71381 87050 142762 174100 285524 348200 356905 571048 713810 1427620 1784525 2855240 3569050 7138100 14276200