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14870120 = 235894177
BaseRepresentation
bin111000101110…
…011001101000
31000222110222012
4320232121220
512301320440
61250415052
7240252056
oct70563150
930873865
1014870120
118437161
124b91488
1331084b5
141d911d6
15148ae65
hexe2e668

14870120 has 32 divisors (see below), whose sum is σ = 33841800. Its totient is φ = 5879808.

The previous prime is 14870101. The next prime is 14870123. The reversal of 14870120 is 2107841.

14870120 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 12859396 + 2010724 = 3586^2 + 1418^2 .

It is a super-2 number, since 2×148701202 = 442240937628800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14870123) 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, 1472 + ... + 5648.

Almost surely, 214870120 is an apocalyptic number.

14870120 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 14870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920900).

14870120 is an abundant number, since it is smaller than the sum of its proper divisors (18971680).

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

14870120 is a wasteful number, since it uses less digits than its factorization.

14870120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 14870120 is about 3856.1794564050. The cubic root of 14870120 is about 245.9073394603.

Adding to 14870120 its reverse (2107841), we get a palindrome (16977961).

The spelling of 14870120 in words is "fourteen million, eight hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 4177 8354 16708 20885 33416 41770 83540 167080 371753 743506 1487012 1858765 2974024 3717530 7435060 14870120