Search a number
-
+
80054400 = 2735231269
BaseRepresentation
bin1001100010110…
…00100010000000
312120122011222210
410301120202000
5130443220100
611535502120
71661310516
oct461304200
9176564883
1080054400
1141209068
1222987940
131377c08a
14a8bc4b6
157064c50
hex4c58880

80054400 has 192 divisors, whose sum is σ = 273196800. Its totient is φ = 20582400.

The previous prime is 80054389. The next prime is 80054419. The reversal of 80054400 is 445008.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297466 + ... + 297734.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 280054400 is an apocalyptic number.

80054400 is a gapful number since it is divisible by the number (80) 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 80054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

80054400 is an abundant number, since it is smaller than the sum of its proper divisors (193142400).

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

80054400 is a wasteful number, since it uses less digits than its factorization.

80054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 80054400 is about 8947.3124456453. The cubic root of 80054400 is about 430.9845835827.

Adding to 80054400 its reverse (445008), we get a palindrome (80499408).

The spelling of 80054400 in words is "eighty million, fifty-four thousand, four hundred".