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13708120 = 23517191061
BaseRepresentation
bin110100010010…
…101101011000
3221210110000011
4310102231120
512002124440
61205451304
7224342236
oct64225530
927713004
1013708120
117813128
124710b34
132abc61a
141b6b956
15130b9ea
hexd12b58

13708120 has 64 divisors (see below), whose sum is σ = 34408800. Its totient is φ = 4884480.

The previous prime is 13708087. The next prime is 13708127. The reversal of 13708120 is 2180731.

It is a junction number, because it is equal to n+sod(n) for n = 13708091 and 13708100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13708127) 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 15 ways as a sum of consecutive naturals, for example, 12390 + ... + 13450.

Almost surely, 213708120 is an apocalyptic number.

13708120 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 13708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204400).

13708120 is an abundant number, since it is smaller than the sum of its proper divisors (20700680).

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

13708120 is a wasteful number, since it uses less digits than its factorization.

13708120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13708120 is about 3702.4478389303. The cubic root of 13708120 is about 239.3275155945.

Adding to 13708120 its reverse (2180731), we get a palindrome (15888851).

The spelling of 13708120 in words is "thirteen million, seven hundred eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1061 1292 1615 2122 2584 3230 4244 5305 6460 8488 10610 12920 18037 20159 21220 36074 40318 42440 72148 80636 90185 100795 144296 161272 180370 201590 342703 360740 403180 685406 721480 806360 1370812 1713515 2741624 3427030 6854060 13708120