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1353456146 = 27219267571
BaseRepresentation
bin101000010101100…
…0001101000010010
310111022202200210102
41100223001220102
510232441044041
6342145132402
745353121200
oct12053015022
93438680712
101353456146
11634a996a9
1231932a102
13187533533
14cba78070
157dc4e09b
hex50ac1a12

1353456146 has 72 divisors (see below), whose sum is σ = 2534113296. Its totient is φ = 540373680.

The previous prime is 1353456109. The next prime is 1353456151. The reversal of 1353456146 is 6416543531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 2370041 + ... + 2370611.

It is an arithmetic number, because the mean of its divisors is an integer number (35196018).

Almost surely, 21353456146 is an apocalyptic number.

1353456146 is a deficient number, since it is larger than the sum of its proper divisors (1180657150).

1353456146 is a wasteful number, since it uses less digits than its factorization.

1353456146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 1353456146 is about 36789.3482682148. The cubic root of 1353456146 is about 1106.1517977837.

Adding to 1353456146 its reverse (6416543531), we get a palindrome (7769999677).

The spelling of 1353456146 in words is "one billion, three hundred fifty-three million, four hundred fifty-six thousand, one hundred forty-six".

Divisors: 1 2 7 14 19 38 49 67 98 133 134 266 361 469 571 722 931 938 1142 1273 1862 2527 2546 3283 3997 5054 6566 7994 8911 10849 17689 17822 21698 24187 27979 35378 38257 48374 55958 62377 75943 76514 124754 151886 169309 206131 267799 338618 412262 531601 535598 726883 1063202 1185163 1442917 1453766 1874593 2370326 2885834 3749186 5088181 10100419 10176362 13810777 20200838 27621554 35617267 71234534 96675439 193350878 676728073 1353456146