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14882000 = 245371063
BaseRepresentation
bin111000110001…
…010011010000
31001000002021012
4320301103100
512302211000
61250550052
7240331520
oct70612320
931002235
1014882000
118445081
124b98328
133110a23
141d95680
15148e735
hexe314d0

14882000 has 80 divisors (see below), whose sum is σ = 41164032. Its totient is φ = 5097600.

The previous prime is 14881981. The next prime is 14882003. The reversal of 14882000 is 28841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14882003) 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, 13469 + ... + 14531.

Almost surely, 214882000 is an apocalyptic number.

14882000 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 14882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016).

14882000 is an abundant number, since it is smaller than the sum of its proper divisors (26282032).

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

14882000 is a wasteful number, since it uses less digits than its factorization.

14882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 14882000 is about 3857.7195336105. The cubic root of 14882000 is about 245.9728085926.

The spelling of 14882000 in words is "fourteen million, eight hundred eighty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1063 1400 1750 2000 2126 2800 3500 4252 5315 7000 7441 8504 10630 14000 14882 17008 21260 26575 29764 37205 42520 53150 59528 74410 85040 106300 119056 132875 148820 186025 212600 265750 297640 372050 425200 531500 595280 744100 930125 1063000 1488200 1860250 2126000 2976400 3720500 7441000 14882000