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14059840 = 26553829
BaseRepresentation
bin110101101000…
…100101000000
3222110022110211
4311220211000
512044403330
61221203504
7230335534
oct65504500
928408424
1014059840
117a33403
124860594
132bb3742
141c1dbc4
15137ad2a
hexd68940

14059840 has 56 divisors (see below), whose sum is σ = 34152840. Its totient is φ = 5511168.

The previous prime is 14059819. The next prime is 14059841. The reversal of 14059840 is 4895041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 11128896 = 1712^2 + 3336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14059841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16546 + ... + 17374.

Almost surely, 214059840 is an apocalyptic number.

14059840 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 14059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076420).

14059840 is an abundant number, since it is smaller than the sum of its proper divisors (20093000).

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

14059840 is an equidigital number, since it uses as much as digits as its factorization.

14059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 14059840 is about 3749.6453165600. The cubic root of 14059840 is about 241.3571262183.

The spelling of 14059840 in words is "fourteen million, fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 829 848 1060 1658 1696 2120 3316 3392 4145 4240 6632 8290 8480 13264 16580 16960 26528 33160 43937 53056 66320 87874 132640 175748 219685 265280 351496 439370 702992 878740 1405984 1757480 2811968 3514960 7029920 14059840