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14270080 = 275112027
BaseRepresentation
bin110110011011…
…111010000000
3222211222212111
4312123322000
512123120310
61225505104
7232202506
oct66337200
928758774
1014270080
118067360
124942194
132c58346
141c76676
1513bd28a
hexd9be80

14270080 has 64 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 5186560.

The previous prime is 14270063. The next prime is 14270111. The reversal of 14270080 is 8007241.

14270080 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6027 + ... + 8053.

Almost surely, 214270080 is an apocalyptic number.

14270080 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 14270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

14270080 is an abundant number, since it is smaller than the sum of its proper divisors (22964000).

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

14270080 is a wasteful number, since it uses less digits than its factorization.

14270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 14270080 is about 3777.5759423207. The cubic root of 14270080 is about 242.5542019346.

The spelling of 14270080 in words is "fourteen million, two hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2027 3520 4054 7040 8108 10135 16216 20270 22297 32432 40540 44594 64864 81080 89188 111485 129728 162160 178376 222970 259456 324320 356752 445940 648640 713504 891880 1297280 1427008 1783760 2854016 3567520 7135040 14270080