Search a number
-
+
1148681560 = 235132209003
BaseRepresentation
bin100010001110111…
…0111110101011000
32222001110001212111
41010131313311120
54323030302220
6305552122104
740315426555
oct10435676530
92861401774
101148681560
1153a445504
12280836334
13153c96c40
14ac7b1a2c
156aca015a
hex44777d58

1148681560 has 32 divisors (see below), whose sum is σ = 2783345040. Its totient is φ = 424128384.

The previous prime is 1148681549. The next prime is 1148681579. The reversal of 1148681560 is 651868411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103982 + ... + 1105021.

Almost surely, 21148681560 is an apocalyptic number.

1148681560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148681560 is an abundant number, since it is smaller than the sum of its proper divisors (1634663480).

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

1148681560 is a wasteful number, since it uses less digits than its factorization.

1148681560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209027 (or 2209023 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1148681560 is about 33892.2050035108. The cubic root of 1148681560 is about 1047.2890186703.

The spelling of 1148681560 in words is "one billion, one hundred forty-eight million, six hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2209003 4418006 8836012 11045015 17672024 22090030 28717039 44180060 57434078 88360120 114868156 143585195 229736312 287170390 574340780 1148681560