Search a number
-
+
80101440 = 2633573127
BaseRepresentation
bin1001100011001…
…00000001000000
312120201120112000
410301210001000
5131001221230
611540504000
71661564616
oct461440100
9176646460
1080101440
1141240441
12229ab000
1313797603
14a8d16b6
157073b60
hex4c64040

80101440 has 224 divisors, whose sum is σ = 288706560. Its totient is φ = 20901888.

The previous prime is 80101429. The next prime is 80101447. The reversal of 80101440 is 4410108.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (80101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630657 + ... + 630783.

Almost surely, 280101440 is an apocalyptic number.

80101440 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 80101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353280).

80101440 is an abundant number, since it is smaller than the sum of its proper divisors (208605120).

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

80101440 is a wasteful number, since it uses less digits than its factorization.

80101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

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

The square root of 80101440 is about 8949.9407819270. The cubic root of 80101440 is about 431.0689826296.

Adding to 80101440 its reverse (4410108), we get a palindrome (84511548).

The spelling of 80101440 in words is "eighty million, one hundred one thousand, four hundred forty".