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14068560 = 243511732
BaseRepresentation
bin110101101010…
…101101010000
3222110202102210
4311222231100
512100143220
61221312120
7230403132
oct65525520
928422383
1014068560
117a39a10
124865640
132bb76bc
141c23052
15137d6e0
hexd6ab50

14068560 has 120 divisors (see below), whose sum is σ = 48237984. Its totient is φ = 3363840.

The previous prime is 14068543. The next prime is 14068597. The reversal of 14068560 is 6586041.

14068560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192684 + ... + 192756.

Almost surely, 214068560 is an apocalyptic number.

14068560 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 14068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24118992).

14068560 is an abundant number, since it is smaller than the sum of its proper divisors (34169424).

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

14068560 is a wasteful number, since it uses less digits than its factorization.

14068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 14068560 is about 3750.8079129702. The cubic root of 14068560 is about 241.4070129688.

The spelling of 14068560 in words is "fourteen million, sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 73 80 88 110 120 132 146 165 176 219 220 240 264 292 330 365 438 440 528 584 660 730 803 876 880 1095 1168 1320 1460 1606 1752 2190 2409 2640 2920 3212 3504 4015 4380 4818 5329 5840 6424 8030 8760 9636 10658 12045 12848 15987 16060 17520 19272 21316 24090 26645 31974 32120 38544 42632 48180 53290 58619 63948 64240 79935 85264 96360 106580 117238 127896 159870 175857 192720 213160 234476 255792 293095 319740 351714 426320 468952 586190 639480 703428 879285 937904 1172380 1278960 1406856 1758570 2344760 2813712 3517140 4689520 7034280 14068560