Search a number
-
+
13970082240 = 2632523210901
BaseRepresentation
bin11010000001010111…
…01000100111000000
31100001121011201010100
431000223220213000
5212102320112430
610230123202400
71003122511512
oct150053504700
940047151110
1013970082240
115a19824614
12285a676400
13141836546a
14967529bb2
1556b6c3960
hex340ae89c0

13970082240 has 168 divisors, whose sum is σ = 50140685088. Its totient is φ = 3563366400.

The previous prime is 13970082239. The next prime is 13970082289. The reversal of 13970082240 is 4228007931.

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 = 13970082195 and 13970082204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39211 + ... + 171690.

Almost surely, 213970082240 is an apocalyptic number.

13970082240 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 13970082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070342544).

13970082240 is an abundant number, since it is smaller than the sum of its proper divisors (36170602848).

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

13970082240 is a wasteful number, since it uses less digits than its factorization.

13970082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210947 (or 210934 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13970082240 in words is "thirteen billion, nine hundred seventy million, eighty-two thousand, two hundred forty".