Search a number
-
+
80141400 = 2335521797
BaseRepresentation
bin1001100011011…
…01110001011000
312120210121100000
410301231301120
5131004011100
611541413000
71662122253
oct461556130
9176717300
1080141400
1141268469
1222a0a160
13137ac861
14a90209a
157080900
hex4c6dc58

80141400 has 288 divisors, whose sum is σ = 298574640. Its totient is φ = 19906560.

The previous prime is 80141393. The next prime is 80141419. The reversal of 80141400 is 414108.

80141400 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 826152 + ... + 826248.

Almost surely, 280141400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

80141400 is an abundant number, since it is smaller than the sum of its proper divisors (218433240).

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

80141400 is a wasteful number, since it uses less digits than its factorization.

80141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80141400 is about 8952.1729205819. The cubic root of 80141400 is about 431.1406528057.

Adding to 80141400 its reverse (414108), we get a palindrome (80555508).

The spelling of 80141400 in words is "eighty million, one hundred forty-one thousand, four hundred".