Search a number
-
+
80123904 = 21135723
BaseRepresentation
bin1001100011010…
…01100000000000
312120202201100000
410301221200000
5131002431104
611541200000
71662020250
oct461514000
9176681300
1080123904
1141256303
1222a00000
13137a48c3
14a8d9960
15707a639
hex4c69800

80123904 has 288 divisors, whose sum is σ = 286191360. Its totient is φ = 21897216.

The previous prime is 80123887. The next prime is 80123957. The reversal of 80123904 is 40932108.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3483637 + ... + 3483659.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 280123904 is an apocalyptic number.

80123904 is a gapful number since it is divisible by the number (84) 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 80123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

80123904 is an abundant number, since it is smaller than the sum of its proper divisors (206067456).

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

80123904 is an equidigital number, since it uses as much as digits as its factorization.

80123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80123904 is about 8951.1956743220. The cubic root of 80123904 is about 431.1092758234.

The spelling of 80123904 in words is "eighty million, one hundred twenty-three thousand, nine hundred four".