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1353045240 = 233259738747
BaseRepresentation
bin101000010100101…
…1101010011111000
310111021222211010200
41100221131103320
510232334421430
6342132242200
745346460211
oct12051352370
93437884120
101353045240
11634838a08
12319170360
1318741b4b1
14cb9ac408
157dbbc460
hex50a5d4f8

1353045240 has 96 divisors (see below), whose sum is σ = 4442845680. Its totient is φ = 357083136.

The previous prime is 1353045217. The next prime is 1353045241. The reversal of 1353045240 is 425403531.

1353045240 is a `hidden beast` number, since 135 + 3 + 0 + 4 + 524 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353045241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15547 + ... + 54293.

Almost surely, 21353045240 is an apocalyptic number.

1353045240 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 1353045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221422840).

1353045240 is an abundant number, since it is smaller than the sum of its proper divisors (3089800440).

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

1353045240 is a wasteful number, since it uses less digits than its factorization.

1353045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38861 (or 38854 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1353045240 is about 36783.7632658759. The cubic root of 1353045240 is about 1106.0398447866.

Adding to 1353045240 its reverse (425403531), we get a palindrome (1778448771).

The spelling of 1353045240 in words is "one billion, three hundred fifty-three million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 38747 77494 116241 154988 193735 232482 309976 348723 387470 464964 581205 697446 774940 929928 1162410 1394892 1549880 1743615 2324820 2789784 3487230 3758459 4649640 6974460 7516918 11275377 13948920 15033836 18792295 22550754 30067672 33826131 37584590 45101508 56376885 67652262 75169180 90203016 112753770 135304524 150338360 169130655 225507540 270609048 338261310 451015080 676522620 1353045240