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14475120 = 2435115483
BaseRepresentation
bin110111001101…
…111101110000
31000020102010120
4313031331300
512201200440
61234130240
7234015342
oct67157560
930212116
1014475120
118197410
124a20980
132cca77a
141ccb292
15140ddd0
hexdcdf70

14475120 has 80 divisors (see below), whose sum is σ = 48961152. Its totient is φ = 3508480.

The previous prime is 14475077. The next prime is 14475137. The reversal of 14475120 is 2157441.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102 + ... + 5381.

Almost surely, 214475120 is an apocalyptic number.

14475120 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 14475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480576).

14475120 is an abundant number, since it is smaller than the sum of its proper divisors (34486032).

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

14475120 is a wasteful number, since it uses less digits than its factorization.

14475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 14475120 is about 3804.6182462896. The cubic root of 14475120 is about 243.7103972478.

The spelling of 14475120 in words is "fourteen million, four hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5483 10966 16449 21932 27415 32898 43864 54830 60313 65796 82245 87728 109660 120626 131592 164490 180939 219320 241252 263184 301565 328980 361878 438640 482504 603130 657960 723756 904695 965008 1206260 1315920 1447512 1809390 2412520 2895024 3618780 4825040 7237560 14475120