Search a number
-
+
1148203368 = 2332131226713
BaseRepresentation
bin100010001110000…
…0011000101101000
32222000112202220200
41010130003011220
54322420001433
6305533552200
740311365454
oct10434030550
92860482820
101148203368
1153a149204
12280645660
13153b5a3a0
14ac6c9664
156ac08613
hex44703168

1148203368 has 48 divisors (see below), whose sum is σ = 3348929220. Its totient is φ = 353293056.

The previous prime is 1148203361. The next prime is 1148203379. The reversal of 1148203368 is 8633028411.

It can be written as a sum of positive squares in 2 ways, for example, as 1147989924 + 213444 = 33882^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1148203361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 612421 + ... + 614292.

Almost surely, 21148203368 is an apocalyptic number.

1148203368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1148203368 is an abundant number, since it is smaller than the sum of its proper divisors (2200725852).

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

1148203368 is a wasteful number, since it uses less digits than its factorization.

1148203368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226738 (or 1226731 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1148203368 is about 33885.1496676642. The cubic root of 1148203368 is about 1047.1436709492.

The spelling of 1148203368 in words is "one billion, one hundred forty-eight million, two hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1226713 2453426 3680139 4906852 7360278 9813704 11040417 14720556 15947269 22080834 29441112 31894538 44161668 47841807 63789076 88323336 95683614 127578152 143525421 191367228 287050842 382734456 574101684 1148203368