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14004720 = 2432553367
BaseRepresentation
bin110101011011…
…000111110000
3222100111212100
4311123013300
512041122340
61220100400
7230016042
oct65330760
928314770
1014004720
1179a5a54
124834700
132b94622
141c07a92
151369830
hexd5b1f0

14004720 has 120 divisors (see below), whose sum is σ = 48050496. Its totient is φ = 3654144.

The previous prime is 14004707. The next prime is 14004737. The reversal of 14004720 is 2740041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×140047202 = 392264364556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14004693 and 14004702.

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 23 ways as a sum of consecutive naturals, for example, 37977 + ... + 38343.

Almost surely, 214004720 is an apocalyptic number.

14004720 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 14004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025248).

14004720 is an abundant number, since it is smaller than the sum of its proper divisors (34045776).

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

14004720 is a wasteful number, since it uses less digits than its factorization.

14004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14004720 is about 3742.2880701517. The cubic root of 14004720 is about 241.0413087825.

Adding to 14004720 its reverse (2740041), we get a palindrome (16744761).

The spelling of 14004720 in words is "fourteen million, four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 367 424 477 530 636 720 734 795 848 954 1060 1101 1272 1468 1590 1835 1908 2120 2202 2385 2544 2936 3180 3303 3670 3816 4240 4404 4770 5505 5872 6360 6606 7340 7632 8808 9540 11010 12720 13212 14680 16515 17616 19080 19451 22020 26424 29360 33030 38160 38902 44040 52848 58353 66060 77804 88080 97255 116706 132120 155608 175059 194510 233412 264240 291765 311216 350118 389020 466824 583530 700236 778040 875295 933648 1167060 1400472 1556080 1750590 2334120 2800944 3501180 4668240 7002360 14004720