Search a number
-
+
1353030560 = 25572514813
BaseRepresentation
bin101000010100101…
…1001101110100000
310111021222001222222
41100221121232200
510232333434220
6342132050212
745346366340
oct12051315640
93437861888
101353030560
11634828982
12319163968
131874148cb
14cb9a6d20
157dbb7e25
hex50a59ba0

1353030560 has 96 divisors (see below), whose sum is σ = 3668499072. Its totient is φ = 461952000.

The previous prime is 1353030529. The next prime is 1353030571. The reversal of 1353030560 is 650303531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278714 + ... + 283526.

It is an arithmetic number, because the mean of its divisors is an integer number (38213532).

Almost surely, 21353030560 is an apocalyptic number.

1353030560 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 1353030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834249536).

1353030560 is an abundant number, since it is smaller than the sum of its proper divisors (2315468512).

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

1353030560 is a wasteful number, since it uses less digits than its factorization.

1353030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 1353030560 is about 36783.5637207707. The cubic root of 1353030560 is about 1106.0358447421.

The spelling of 1353030560 in words is "one billion, three hundred fifty-three million, thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 251 280 502 560 1004 1120 1255 1757 2008 2510 3514 4016 4813 5020 7028 8032 8785 9626 10040 14056 17570 19252 20080 24065 28112 33691 35140 38504 40160 48130 56224 67382 70280 77008 96260 134764 140560 154016 168455 192520 269528 281120 336910 385040 539056 673820 770080 1078112 1208063 1347640 2416126 2695280 4832252 5390560 6040315 8456441 9664504 12080630 16912882 19329008 24161260 33825764 38658016 42282205 48322520 67651528 84564410 96645040 135303056 169128820 193290080 270606112 338257640 676515280 1353030560