Search a number
-
+
13994640 = 24335111931
BaseRepresentation
bin110101011000…
…101010010000
3222100000001000
4311120222100
512040312030
61215542000
7226644462
oct65305220
928300030
1013994640
117999420
12482a900
132b8cb6a
141c04132
151366860
hexd58a90

13994640 has 320 divisors, whose sum is σ = 57139200. Its totient is φ = 3110400.

The previous prime is 13994593. The next prime is 13994641. The reversal of 13994640 is 4649931.

13994640 = 73 + 83 + ... + 863.

13994640 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13994595 and 13994604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13994641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451425 + ... + 451455.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 213994640 is an apocalyptic number.

13994640 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 13994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

13994640 is an abundant number, since it is smaller than the sum of its proper divisors (43144560).

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

13994640 is a wasteful number, since it uses less digits than its factorization.

13994640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13994640 is about 3740.9410580762. The cubic root of 13994640 is about 240.9834644853.

The spelling of 13994640 in words is "thirteen million, nine hundred ninety-four thousand, six hundred forty".