Search a number
-
+
1454505040 = 2451710110589
BaseRepresentation
bin101011010110001…
…1111110001010000
310202100220111211001
41112230133301100
510434323130130
6400155031344
751021042322
oct12654376120
93670814731
101454505040
1168703718a
1234713b554
131a2453591
14db25d612
1587a5e6ca
hex56b1fc50

1454505040 has 80 divisors (see below), whose sum is σ = 3616442640. Its totient is φ = 542105600.

The previous prime is 1454505029. The next prime is 1454505049. The reversal of 1454505040 is 405054541.

It can be written as a sum of positive squares in 8 ways, for example, as 38638656 + 1415866384 = 6216^2 + 37628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14545050402 = 4231169822770803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454505049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132066 + ... + 142654.

It is an arithmetic number, because the mean of its divisors is an integer number (45205533).

Almost surely, 21454505040 is an apocalyptic number.

1454505040 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 1454505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808221320).

1454505040 is an abundant number, since it is smaller than the sum of its proper divisors (2161937600).

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

1454505040 is a wasteful number, since it uses less digits than its factorization.

1454505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 1454505040 is about 38137.9737269824. The cubic root of 1454505040 is about 1133.0221760173.

Adding to 1454505040 its reverse (405054541), we get a palindrome (1859559581).

The spelling of 1454505040 in words is "one billion, four hundred fifty-four million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1616 1717 2020 3434 4040 6868 8080 8585 10589 13736 17170 21178 27472 34340 42356 52945 68680 84712 105890 137360 169424 180013 211780 360026 423560 720052 847120 900065 1069489 1440104 1800130 2138978 2880208 3600260 4277956 5347445 7200520 8555912 10694890 14401040 17111824 18181313 21389780 36362626 42779560 72725252 85559120 90906565 145450504 181813130 290901008 363626260 727252520 1454505040