Search a number
-
+
1153745505 = 335113472239
BaseRepresentation
bin100010011000100…
…1100001001100001
32222101222100022000
41010301030021201
54330324324010
6310252434213
740406450343
oct10461141141
92871870260
101153745505
11542294090
12282478969
1315504ab63
14ad32d293
156b4507c0
hex44c4c261

1153745505 has 64 divisors (see below), whose sum is σ = 2245017600. Its totient is φ = 557530560.

The previous prime is 1153745497. The next prime is 1153745557. The reversal of 1153745505 is 5055473511.

It is a happy number.

1153745505 is a `hidden beast` number, since 115 + 37 + 4 + 5 + 505 = 666.

It is not a de Polignac number, because 1153745505 - 23 = 1153745497 is a prime.

It is a super-2 number, since 2×11537455052 = 2662257380615410050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1153745505.

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 63 ways as a sum of consecutive naturals, for example, 514176 + ... + 516414.

It is an arithmetic number, because the mean of its divisors is an integer number (35078400).

Almost surely, 21153745505 is an apocalyptic number.

1153745505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1153745505 is a deficient number, since it is larger than the sum of its proper divisors (1091272095).

1153745505 is a wasteful number, since it uses less digits than its factorization.

1153745505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 1153745505 is about 33966.8294811276. The cubic root of 1153745505 is about 1048.8257485078.

The spelling of 1153745505 in words is "one billion, one hundred fifty-three million, seven hundred forty-five thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 347 495 1041 1485 1735 2239 3123 3817 5205 6717 9369 11195 11451 15615 19085 20151 24629 33585 34353 46845 57255 60453 73887 100755 103059 123145 171765 221661 302265 369435 515295 664983 776933 1108305 2330799 3324915 3884665 6992397 8546263 11653995 20977191 25638789 34961985 42731315 76916367 104885955 128193945 230749101 384581835 1153745505