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13314120 = 2335110951
BaseRepresentation
bin110010110010…
…100001001000
3221001102112120
4302302201020
511402022440
61153211240
7221111451
oct62624110
927042476
1013314120
117574106
124560b20
1329b21a1
141aa8128
15127edd0
hexcb2848

13314120 has 32 divisors (see below), whose sum is σ = 39942720. Its totient is φ = 3550400.

The previous prime is 13314109. The next prime is 13314121. The reversal of 13314120 is 2141331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13314120.

It is not an unprimeable number, because it can be changed into a prime (13314121) 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, 55356 + ... + 55595.

It is an arithmetic number, because the mean of its divisors is an integer number (1248210).

Almost surely, 213314120 is an apocalyptic number.

13314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13314120 is an abundant number, since it is smaller than the sum of its proper divisors (26628600).

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

13314120 is a wasteful number, since it uses less digits than its factorization.

13314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110965 (or 110961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13314120 is about 3648.8518742202. The cubic root of 13314120 is about 237.0122659179.

Adding to 13314120 its reverse (2141331), we get a palindrome (15455451).

The spelling of 13314120 in words is "thirteen million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 110951 221902 332853 443804 554755 665706 887608 1109510 1331412 1664265 2219020 2662824 3328530 4438040 6657060 13314120