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13954000 = 24536977
BaseRepresentation
bin110101001110…
…101111010000
3222020221021211
4311032233100
512033012000
61215025504
7226415134
oct65165720
928227254
1013954000
117970935
12480b294
132b77508
141bd33c4
1513597ba
hexd4ebd0

13954000 has 40 divisors (see below), whose sum is σ = 33745608. Its totient is φ = 5580800.

The previous prime is 13953997. The next prime is 13954021. The reversal of 13954000 is 45931.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 12082576 = 1368^2 + 3476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1489 + ... + 5488.

Almost surely, 213954000 is an apocalyptic number.

13954000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13954000 is an abundant number, since it is smaller than the sum of its proper divisors (19791608).

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

13954000 is an equidigital number, since it uses as much as digits as its factorization.

13954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 13954000 is about 3735.5053205691. The cubic root of 13954000 is about 240.7499688186.

Adding to 13954000 its reverse (45931), we get a palindrome (13999931).

The spelling of 13954000 in words is "thirteen million, nine hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6977 13954 27908 34885 55816 69770 111632 139540 174425 279080 348850 558160 697700 872125 1395400 1744250 2790800 3488500 6977000 13954000