Search a number
-
+
1149535968 = 25371710619
BaseRepresentation
bin100010010000100…
…1000011011100000
32222010001110220020
41010201020123200
54323240122333
6310022313440
740325615550
oct10441103340
92863043806
101149535968
1153a979429
12280b88880
13154205ac9
14ac955160
156adbd3b3
hex448486e0

1149535968 has 48 divisors (see below), whose sum is σ = 3448609920. Its totient is φ = 328438656.

The previous prime is 1149535957. The next prime is 1149535991. The reversal of 1149535968 is 8695359411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1149535968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854638 + ... + 855981.

It is an arithmetic number, because the mean of its divisors is an integer number (71846040).

Almost surely, 21149535968 is an apocalyptic number.

It is an amenable number.

1149535968 is an abundant number, since it is smaller than the sum of its proper divisors (2299073952).

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

1149535968 is a wasteful number, since it uses less digits than its factorization.

1149535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710639 (or 1710631 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 1149535968 is about 33904.8074467324. The cubic root of 1149535968 is about 1047.5486178432.

The spelling of 1149535968 in words is "one billion, one hundred forty-nine million, five hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1710619 3421238 5131857 6842476 10263714 11974333 13684952 20527428 23948666 27369904 35922999 41054856 47897332 54739808 71845998 82109712 95794664 143691996 164219424 191589328 287383992 383178656 574767984 1149535968