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14120080 = 2451313577
BaseRepresentation
bin110101110111…
…010010010000
3222120101002221
4311313102100
512103320310
61222350424
7231006262
oct65672220
928511087
1014120080
117a74697
12488b414
132c04ca0
141c37b32
15138dada
hexd77490

14120080 has 40 divisors (see below), whose sum is σ = 35357112. Its totient is φ = 5213184.

The previous prime is 14120063. The next prime is 14120083. The reversal of 14120080 is 8002141.

It is a happy number.

14120080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 11723776 = 1548^2 + 3424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749 + ... + 7828.

Almost surely, 214120080 is an apocalyptic number.

14120080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14120080 is an abundant number, since it is smaller than the sum of its proper divisors (21237032).

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

14120080 is a wasteful number, since it uses less digits than its factorization.

14120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13603 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14120080 is about 3757.6694905220. The cubic root of 14120080 is about 241.7013368148.

The spelling of 14120080 in words is "fourteen million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13577 27154 54308 67885 108616 135770 176501 217232 271540 353002 543080 706004 882505 1086160 1412008 1765010 2824016 3530020 7060040 14120080