Search a number
-
+
80881920 = 2832571759
BaseRepresentation
bin1001101001000…
…10100100000000
312122012020010200
410310202210000
5131201210140
612005325200
72001325230
oct464424400
9178166120
1080881920
1141723869
1223106800
13139ab932
14aa55cc0
15717a030
hex4d22900

80881920 has 432 divisors, whose sum is σ = 344373120. Its totient is φ = 17104896.

The previous prime is 80881909. The next prime is 80881973. The reversal of 80881920 is 2918808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370851 + ... + 1370909.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 280881920 is an apocalyptic number.

80881920 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 80881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

80881920 is an abundant number, since it is smaller than the sum of its proper divisors (263491200).

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

80881920 is a wasteful number, since it uses less digits than its factorization.

80881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 80881920 is about 8993.4376075003. The cubic root of 80881920 is about 432.4645209071.

It can be divided in two parts, 808 and 81920, that added together give a palindrome (82728).

The spelling of 80881920 in words is "eighty million, eight hundred eighty-one thousand, nine hundred twenty".