Search a number
-
+
19810440 = 23335131783
BaseRepresentation
bin100101110010…
…0100010001000
31101021110211000
41023210202020
520032413230
61544335000
7330246246
oct113444210
941243730
1019810440
1110200971
126774460
134148070
1428b9796
151b14b60
hex12e4888

19810440 has 256 divisors, whose sum is σ = 76204800. Its totient is φ = 4534272.

The previous prime is 19810411. The next prime is 19810447. The reversal of 19810440 is 4401891.

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

It is not an unprimeable number, because it can be changed into a prime (19810447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238639 + ... + 238721.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 219810440 is an apocalyptic number.

19810440 is a gapful number since it is divisible by the number (10) 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 19810440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

19810440 is an abundant number, since it is smaller than the sum of its proper divisors (56394360).

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

19810440 is a wasteful number, since it uses less digits than its factorization.

19810440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19810440 is about 4450.8920454219. The cubic root of 19810440 is about 270.5814629314.

The spelling of 19810440 in words is "nineteen million, eight hundred ten thousand, four hundred forty".