Search a number
-
+
13972080 = 243558217
BaseRepresentation
bin110101010011…
…001001110000
3222021212002110
4311103021300
512034101310
61215245320
7226521633
oct65231160
928255073
1013972080
117983481
124819840
132b82805
141bd9c1a
15135ed20
hexd53270

13972080 has 40 divisors (see below), whose sum is σ = 43314192. Its totient is φ = 3725824.

The previous prime is 13972073. The next prime is 13972081. The reversal of 13972080 is 8027931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972081) 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 7 ways as a sum of consecutive naturals, for example, 28869 + ... + 29348.

Almost surely, 213972080 is an apocalyptic number.

13972080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13972080 is an abundant number, since it is smaller than the sum of its proper divisors (29342112).

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

13972080 is a wasteful number, since it uses less digits than its factorization.

13972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58233 (or 58227 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13972080 is about 3737.9245578262. The cubic root of 13972080 is about 240.8539027169.

The spelling of 13972080 in words is "thirteen million, nine hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58217 116434 174651 232868 291085 349302 465736 582170 698604 873255 931472 1164340 1397208 1746510 2328680 2794416 3493020 4657360 6986040 13972080