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14046000 = 243532341
BaseRepresentation
bin110101100101…
…001100110000
3222102121111020
4311211030300
512043433000
61221015440
7230250303
oct65451460
928377436
1014046000
117a23a71
124854580
132baa357
141c18b3a
151376ba0
hexd65330

14046000 has 80 divisors (see below), whose sum is σ = 45303648. Its totient is φ = 3744000.

The previous prime is 14045989. The next prime is 14046023. The reversal of 14046000 is 64041.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 4830 + ... + 7170.

Almost surely, 214046000 is an apocalyptic number.

14046000 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 14046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651824).

14046000 is an abundant number, since it is smaller than the sum of its proper divisors (31257648).

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

14046000 is a wasteful number, since it uses less digits than its factorization.

14046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14046000 is about 3747.7993542878. The cubic root of 14046000 is about 241.2779057986.

The spelling of 14046000 in words is "fourteen million, forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2341 3000 4682 6000 7023 9364 11705 14046 18728 23410 28092 35115 37456 46820 56184 58525 70230 93640 112368 117050 140460 175575 187280 234100 280920 292625 351150 468200 561840 585250 702300 877875 936400 1170500 1404600 1755750 2341000 2809200 3511500 4682000 7023000 14046000