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1138642380 = 223352108597
BaseRepresentation
bin100001111011110…
…0100110111001100
32221100120000201000
41003313210313030
54312443024010
6304553020300
740134205041
oct10367446714
92840500630
101138642380
11534808967
122793b4690
13151b905b5
14ab31b1c8
1569e6a7c0
hex43de4dcc

1138642380 has 48 divisors (see below), whose sum is σ = 3542444640. Its totient is φ = 303637824.

The previous prime is 1138642363. The next prime is 1138642391. The reversal of 1138642380 is 832468311.

1138642380 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 642 + 3 + 8 + 0 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 1053759 + ... + 1054838.

It is an arithmetic number, because the mean of its divisors is an integer number (73800930).

Almost surely, 21138642380 is an apocalyptic number.

1138642380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138642380 is an abundant number, since it is smaller than the sum of its proper divisors (2403802260).

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

1138642380 is a wasteful number, since it uses less digits than its factorization.

1138642380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108615 (or 2108607 counting only the distinct ones).

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

The square root of 1138642380 is about 33743.7754259952. The cubic root of 1138642380 is about 1044.2290751124.

The spelling of 1138642380 in words is "one billion, one hundred thirty-eight million, six hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2108597 4217194 6325791 8434388 10542985 12651582 18977373 21085970 25303164 31628955 37954746 42171940 56932119 63257910 75909492 94886865 113864238 126515820 189773730 227728476 284660595 379547460 569321190 1138642380