Search a number
-
+
281073240 = 233105717
BaseRepresentation
bin10000110000001…
…101011001011000
3201120220000000000
4100300031121120
51033423320430
643520213000
76652040340
oct2060153130
9646800000
10281073240
11134727538
127a16a160
1346302036
1429487d20
1519a20e60
hex10c0d658

281073240 has 352 divisors, whose sum is σ = 1147906080. Its totient is φ = 60466176.

The previous prime is 281073229. The next prime is 281073263. The reversal of 281073240 is 42370182.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 16533712 + ... + 16533728.

Almost surely, 2281073240 is an apocalyptic number.

281073240 is a gapful number since it is divisible by the number (20) 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 281073240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573953040).

281073240 is an abundant number, since it is smaller than the sum of its proper divisors (866832840).

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

281073240 is an equidigital number, since it uses as much as digits as its factorization.

281073240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 281073240 is about 16765.2390379619. The cubic root of 281073240 is about 655.0480628251.

The spelling of 281073240 in words is "two hundred eighty-one million, seventy-three thousand, two hundred forty".