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13427120 = 245723977
BaseRepresentation
bin110011001110…
…000110110000
3221021011112202
4303032012300
511414131440
61155442332
7222062060
oct63160660
927234482
1013427120
117640aa3
1245b63a8
132a21755
141ad73a0
1512a3615
hexcce1b0

13427120 has 40 divisors (see below), whose sum is σ = 35679264. Its totient is φ = 4603392.

The previous prime is 13427119. The next prime is 13427143. The reversal of 13427120 is 2172431.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13427092 and 13427101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11429 + ... + 12548.

Almost surely, 213427120 is an apocalyptic number.

13427120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13427120 is an abundant number, since it is smaller than the sum of its proper divisors (22252144).

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

13427120 is a wasteful number, since it uses less digits than its factorization.

13427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23997 (or 23991 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13427120 is about 3664.3034808815. The cubic root of 13427120 is about 237.6809037219.

Adding to 13427120 its reverse (2172431), we get a palindrome (15599551).

The spelling of 13427120 in words is "thirteen million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 23977 47954 95908 119885 167839 191816 239770 335678 383632 479540 671356 839195 959080 1342712 1678390 1918160 2685424 3356780 6713560 13427120