Search a number
-
+
214010080 = 2551337563
BaseRepresentation
bin11001100000110…
…00100011100000
3112220200211122021
430300120203200
5414241310310
633122551224
75206025044
oct1460304340
9486624567
10214010080
11aa891a39
125b808514
13354511ab
14205cc024
1513bc55da
hexcc188e0

214010080 has 24 divisors (see below), whose sum is σ = 505599192. Its totient is φ = 85603968.

The previous prime is 214010077. The next prime is 214010087. The reversal of 214010080 is 80010412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214010087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668622 + ... + 668941.

It is an arithmetic number, because the mean of its divisors is an integer number (21066633).

Almost surely, 2214010080 is an apocalyptic number.

214010080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214010080 is an abundant number, since it is smaller than the sum of its proper divisors (291589112).

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

214010080 is a wasteful number, since it uses less digits than its factorization.

214010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337578 (or 1337570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214010080 is about 14629.0833615781. The cubic root of 214010080 is about 598.1517942194.

Adding to 214010080 its reverse (80010412), we get a palindrome (294020492).

The spelling of 214010080 in words is "two hundred fourteen million, ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1337563 2675126 5350252 6687815 10700504 13375630 21401008 26751260 42802016 53502520 107005040 214010080