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80053920 = 253552971
BaseRepresentation
bin1001100010110…
…00011010100000
312120122011100000
410301120122200
5130443211140
611535500000
71661306232
oct461303240
9176564300
1080053920
1141208771
1222987600
131377baab
14a8bc252
157064a30
hex4c586a0

80053920 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 20321280.

The previous prime is 80053877. The next prime is 80053927. The reversal of 80053920 is 2935008.

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 not an unprimeable number, because it can be changed into a prime (80053927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127485 + ... + 1127555.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 280053920 is an apocalyptic number.

80053920 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 80053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

80053920 is an abundant number, since it is smaller than the sum of its proper divisors (217144800).

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

80053920 is a wasteful number, since it uses less digits than its factorization.

80053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 80053920 is about 8947.2856219079. The cubic root of 80053920 is about 430.9837221975.

Adding to 80053920 its reverse (2935008), we get a palindrome (82988928).

The spelling of 80053920 in words is "eighty million, fifty-three thousand, nine hundred twenty".