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13834120 = 235345853
BaseRepresentation
bin110100110001…
…011110001000
3222000211211211
4310301132020
512020142440
61212302504
7225405466
oct64613610
928024754
1013834120
117899863
124771a34
132b34a91
141ba1836
151333eea
hexd31788

13834120 has 16 divisors (see below), whose sum is σ = 31126860. Its totient is φ = 5533632.

The previous prime is 13834103. The next prime is 13834127. The reversal of 13834120 is 2143831.

It can be written as a sum of positive squares in 2 ways, for example, as 13235044 + 599076 = 3638^2 + 774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13834091 and 13834100.

It is not an unprimeable number, because it can be changed into a prime (13834127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172887 + ... + 172966.

Almost surely, 213834120 is an apocalyptic number.

13834120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13834120 is an abundant number, since it is smaller than the sum of its proper divisors (17292740).

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

13834120 is a wasteful number, since it uses less digits than its factorization.

13834120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345864 (or 345860 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13834120 is about 3719.4246866955. The cubic root of 13834120 is about 240.0585505296.

Adding to 13834120 its reverse (2143831), we get a palindrome (15977951).

The spelling of 13834120 in words is "thirteen million, eight hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 345853 691706 1383412 1729265 2766824 3458530 6917060 13834120