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14076240 = 243589659
BaseRepresentation
bin110101101100…
…100101010000
3222111010222020
4311230211100
512100414430
61221411440
7230434413
oct65544520
928433866
1014076240
117a44762
124869b80
132bbb049
141c25b7a
151380b10
hexd6c950

14076240 has 80 divisors (see below), whose sum is σ = 44193600. Its totient is φ = 3705856.

The previous prime is 14076239. The next prime is 14076259. The reversal of 14076240 is 4267041.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14076240.

It is a congruent number.

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, 21031 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 214076240 is an apocalyptic number.

14076240 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 14076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800).

14076240 is an abundant number, since it is smaller than the sum of its proper divisors (30117360).

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

14076240 is a wasteful number, since it uses less digits than its factorization.

14076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 14076240 is about 3751.8315527220. The cubic root of 14076240 is about 241.4509328534.

The spelling of 14076240 in words is "fourteen million, seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 659 712 890 1068 1318 1335 1424 1780 1977 2136 2636 2670 3295 3560 3954 4272 5272 5340 6590 7120 7908 9885 10544 10680 13180 15816 19770 21360 26360 31632 39540 52720 58651 79080 117302 158160 175953 234604 293255 351906 469208 586510 703812 879765 938416 1173020 1407624 1759530 2346040 2815248 3519060 4692080 7038120 14076240