Search a number
-
+
391114080 = 253257223241
BaseRepresentation
bin10111010011111…
…110110101100000
31000020221122122200
4113103332311200
51300111122310
6102450533200
712456262200
oct2723766540
91006848580
10391114080
11190856885
12aab97200
136304cb66
1439d30400
152450a9c0
hex174fed60

391114080 has 432 divisors, whose sum is σ = 1626809184. Its totient is φ = 85155840.

The previous prime is 391114051. The next prime is 391114081. The reversal of 391114080 is 80411193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391114081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622760 + ... + 1623000.

It is an arithmetic number, because the mean of its divisors is an integer number (3765762).

Almost surely, 2391114080 is an apocalyptic number.

391114080 is a gapful number since it is divisible by the number (30) 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 391114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813404592).

391114080 is an abundant number, since it is smaller than the sum of its proper divisors (1235695104).

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

391114080 is a wasteful number, since it uses less digits than its factorization.

391114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 391114080 is about 19776.6043596973. The cubic root of 391114080 is about 731.3093907494.

The spelling of 391114080 in words is "three hundred ninety-one million, one hundred fourteen thousand, eighty".