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13414560 = 253527947
BaseRepresentation
bin110011001011…
…000010100000
3221020112022120
4303023002200
511413231220
61155304240
7222010335
oct63130240
927215276
1013414560
117632615
1245ab080
132a18b13
141ad298c
15129ea40
hexccb0a0

13414560 has 48 divisors (see below), whose sum is σ = 42257376. Its totient is φ = 3577088.

The previous prime is 13414549. The next prime is 13414603. The reversal of 13414560 is 6541431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13414560.

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, 13494 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (880362).

Almost surely, 213414560 is an apocalyptic number.

13414560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414560 is an abundant number, since it is smaller than the sum of its proper divisors (28842816).

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

13414560 is a wasteful number, since it uses less digits than its factorization.

13414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27965 (or 27957 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13414560 is about 3662.5892480594. The cubic root of 13414560 is about 237.6067700913.

Adding to 13414560 its reverse (6541431), we get a palindrome (19955991).

The spelling of 13414560 in words is "thirteen million, four hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 27947 55894 83841 111788 139735 167682 223576 279470 335364 419205 447152 558940 670728 838410 894304 1117880 1341456 1676820 2235760 2682912 3353640 4471520 6707280 13414560