Search a number
-
+
13657940 = 225897673
BaseRepresentation
bin110100000110…
…011101010100
3221200220011122
4310012131110
511444023230
61204423112
7224043032
oct64063524
927626148
1013657940
11778945a
1246a7a98
132aa282a
141b57552
1512ebbe5
hexd06754

13657940 has 24 divisors (see below), whose sum is σ = 29007720. Its totient is φ = 5401088.

The previous prime is 13657939. The next prime is 13657957. The reversal of 13657940 is 4975631.

It can be written as a sum of positive squares in 4 ways, for example, as 669124 + 12988816 = 818^2 + 3604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13657940.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2057 + ... + 5616.

It is an arithmetic number, because the mean of its divisors is an integer number (1208655).

Almost surely, 213657940 is an apocalyptic number.

13657940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13657940 is an abundant number, since it is smaller than the sum of its proper divisors (15349780).

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

13657940 is a wasteful number, since it uses less digits than its factorization.

13657940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 13657940 is about 3695.6650281106. The cubic root of 13657940 is about 239.0351307753.

The spelling of 13657940 in words is "thirteen million, six hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 7673 15346 30692 38365 76730 153460 682897 1365794 2731588 3414485 6828970 13657940