Search a number
-
+
13719930 = 235779827
BaseRepresentation
bin110100010101…
…100101111010
3221211001012120
4310111211322
512003014210
61210022110
7224421540
oct64254572
927731176
1013719930
117820a94
124717936
132ac4b03
141b71d90
151310270
hexd1597a

13719930 has 64 divisors (see below), whose sum is σ = 38154240. Its totient is φ = 3092544.

The previous prime is 13719913. The next prime is 13719947. The reversal of 13719930 is 3991731.

It is an interprime number because it is at equal distance from previous prime (13719913) and next prime (13719947).

It is a junction number, because it is equal to n+sod(n) for n = 13719891 and 13719900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16177 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 213719930 is an apocalyptic number.

13719930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13719930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120).

13719930 is an abundant number, since it is smaller than the sum of its proper divisors (24434310).

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

13719930 is a wasteful number, since it uses less digits than its factorization.

13719930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 5103, while the sum is 33.

The square root of 13719930 is about 3704.0423863665. The cubic root of 13719930 is about 239.3962253969.

The spelling of 13719930 in words is "thirteen million, seven hundred nineteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 827 1106 1185 1654 1659 2370 2481 2765 3318 4135 4962 5530 5789 8270 8295 11578 12405 16590 17367 24810 28945 34734 57890 65333 86835 130666 173670 195999 326665 391998 457331 653330 914662 979995 1371993 1959990 2286655 2743986 4573310 6859965 13719930