Search a number
-
+
1445745280 = 27571741463
BaseRepresentation
bin101011000101100…
…0101001010000000
310201202102110200111
41112023011022000
510430102322110
6355243201104
750553426550
oct12613051200
93652373614
101445745280
116820a3911
12344216194
131a06a73a5
14da01d160
1586dcde8a
hex562c5280

1445745280 has 256 divisors, whose sum is σ = 4293596160. Its totient is φ = 454164480.

The previous prime is 1445745253. The next prime is 1445745313. The reversal of 1445745280 is 825475441.

1445745280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 3122329 + ... + 3122791.

It is an arithmetic number, because the mean of its divisors is an integer number (16771860).

Almost surely, 21445745280 is an apocalyptic number.

1445745280 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 1445745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146798080).

1445745280 is an abundant number, since it is smaller than the sum of its proper divisors (2847850880).

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

1445745280 is a wasteful number, since it uses less digits than its factorization.

1445745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The square root of 1445745280 is about 38022.9572758353. The cubic root of 1445745280 is about 1130.7430516312.

The spelling of 1445745280 in words is "one billion, four hundred forty-five million, seven hundred forty-five thousand, two hundred eighty".