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1134242016 = 25313190191
BaseRepresentation
bin100001110011011…
…0010100011100000
32221001021110112120
41003212302203200
54310331221031
6304314424240
740051620015
oct10346624340
92831243476
101134242016
115322828a6
12277a32080
13150cac72b
14aa8d370c
156989ba96
hex439b28e0

1134242016 has 48 divisors (see below), whose sum is σ = 3000146688. Its totient is φ = 375190400.

The previous prime is 1134241967. The next prime is 1134242027. The reversal of 1134242016 is 6102424311.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32520 + ... + 57671.

It is an arithmetic number, because the mean of its divisors is an integer number (62503056).

Almost surely, 21134242016 is an apocalyptic number.

1134242016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1134242016 is an abundant number, since it is smaller than the sum of its proper divisors (1865904672).

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

1134242016 is a wasteful number, since it uses less digits than its factorization.

1134242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90335 (or 90327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1134242016 is about 33678.5097057456. The cubic root of 1134242016 is about 1042.8821728509.

Adding to 1134242016 its reverse (6102424311), we get a palindrome (7236666327).

It can be divided in two parts, 113424 and 2016, that added together give a triangular number (115440 = T480).

The spelling of 1134242016 in words is "one billion, one hundred thirty-four million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 90191 180382 270573 360764 541146 721528 1082292 1443056 2164584 2886112 4329168 8658336 11815021 23630042 35445063 47260084 70890126 94520168 141780252 189040336 283560504 378080672 567121008 1134242016