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13718700 = 2233525081
BaseRepresentation
bin110100010101…
…010010101100
3221210222112000
4310111102230
512002444300
61210012300
7224415132
oct64252254
927728460
1013718700
117820076
124717090
132ac4398
141b71752
15130ec00
hexd154ac

13718700 has 72 divisors (see below), whose sum is σ = 44111760. Its totient is φ = 3657600.

The previous prime is 13718699. The next prime is 13718707. The reversal of 13718700 is 781731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13718707) 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 23 ways as a sum of consecutive naturals, for example, 160 + ... + 5240.

Almost surely, 213718700 is an apocalyptic number.

13718700 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 13718700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055880).

13718700 is an abundant number, since it is smaller than the sum of its proper divisors (30393060).

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

13718700 is a wasteful number, since it uses less digits than its factorization.

13718700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 13718700 is about 3703.8763478280. The cubic root of 13718700 is about 239.3890711778.

The spelling of 13718700 in words is "thirteen million, seven hundred eighteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 5081 10162 15243 20324 25405 30486 45729 50810 60972 76215 91458 101620 127025 137187 152430 182916 228645 254050 274374 304860 381075 457290 508100 548748 685935 762150 914580 1143225 1371870 1524300 2286450 2743740 3429675 4572900 6859350 13718700