Search a number
-
+
1455241440 = 25353031753
BaseRepresentation
bin101011010111101…
…0011100011100000
310202102021220222010
41112233103203200
510440020211230
6400222512520
751030230262
oct12657234340
93672256863
101455241440
1168749a484
12347435740
131a2650813
14db3b1b32
1587b579b0
hex56bd38e0

1455241440 has 48 divisors (see below), whose sum is σ = 4584012048. Its totient is φ = 388064256.

The previous prime is 1455241397. The next prime is 1455241453. The reversal of 1455241440 is 441425541.

1455241440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1455241398 and 1455241407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515397 + ... + 1516356.

It is an arithmetic number, because the mean of its divisors is an integer number (95500251).

Almost surely, 21455241440 is an apocalyptic number.

1455241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1455241440 is an abundant number, since it is smaller than the sum of its proper divisors (3128770608).

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

1455241440 is a wasteful number, since it uses less digits than its factorization.

1455241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031771 (or 3031763 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1455241440 is about 38147.6269248822. The cubic root of 1455241440 is about 1133.2133560037.

Adding to 1455241440 its reverse (441425541), we get a palindrome (1896666981).

The spelling of 1455241440 in words is "one billion, four hundred fifty-five million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3031753 6063506 9095259 12127012 15158765 18190518 24254024 30317530 36381036 45476295 48508048 60635060 72762072 90952590 97016096 121270120 145524144 181905180 242540240 291048288 363810360 485080480 727620720 1455241440