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80421120 = 2833513179
BaseRepresentation
bin1001100101100…
…10000100000000
312121022211001000
410302302010000
5131041433440
611551412000
71664365623
oct462620400
9177284030
1080421120
114143963a
1222b24000
1313879c80
14a975dba
1570d8730
hex4cb2100

80421120 has 288 divisors, whose sum is σ = 309052800. Its totient is φ = 19685376.

The previous prime is 80421109. The next prime is 80421127. The reversal of 80421120 is 2112408.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 80421093 and 80421102.

It is not an unprimeable number, because it can be changed into a prime (80421127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449191 + ... + 449369.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 280421120 is an apocalyptic number.

80421120 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 80421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

80421120 is an abundant number, since it is smaller than the sum of its proper divisors (228631680).

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

80421120 is a wasteful number, since it uses less digits than its factorization.

80421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

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

The square root of 80421120 is about 8967.7823345574. The cubic root of 80421120 is about 431.6416781813.

Adding to 80421120 its reverse (2112408), we get a palindrome (82533528).

The spelling of 80421120 in words is "eighty million, four hundred twenty-one thousand, one hundred twenty".