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1455313140 = 223258085073
BaseRepresentation
bin101011010111110…
…0101000011110100
310202102102120022200
41112233211003310
510440030010030
6400224224500
751030646311
oct12657450364
93672376280
101455313140
11687539336
1234746b130
131a2677348
14db3cdd08
1587b6dd60
hex56be50f4

1455313140 has 36 divisors (see below), whose sum is σ = 4414450404. Its totient is φ = 388083456.

The previous prime is 1455313133. The next prime is 1455313157. The reversal of 1455313140 is 413135541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 405941904 + 1049371236 = 20148^2 + 32394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4042357 + ... + 4042716.

Almost surely, 21455313140 is an apocalyptic number.

1455313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1455313140 is an abundant number, since it is smaller than the sum of its proper divisors (2959137264).

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

1455313140 is a wasteful number, since it uses less digits than its factorization.

1455313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085088 (or 8085083 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1455313140 is about 38148.5666834286. The cubic root of 1455313140 is about 1133.2319669047.

Adding to 1455313140 its reverse (413135541), we get a palindrome (1868448681).

The spelling of 1455313140 in words is "one billion, four hundred fifty-five million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8085073 16170146 24255219 32340292 40425365 48510438 72765657 80850730 97020876 121276095 145531314 161701460 242552190 291062628 363828285 485104380 727656570 1455313140