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1189131048 = 2332722910303
BaseRepresentation
bin100011011100000…
…1011001100101000
310001212120010010200
41012320023030220
54413404143143
6313555112200
741316306240
oct10670131450
93055503120
101189131048
11560262836
122922a2660
1315c48a251
14b3d00b20
156e5e01d3
hex46e0b328

1189131048 has 96 divisors (see below), whose sum is σ = 3697075200. Its totient is φ = 338235264.

The previous prime is 1189131043. The next prime is 1189131059. The reversal of 1189131048 is 8401319811.

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 (1189131043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110265 + ... + 120567.

It is an arithmetic number, because the mean of its divisors is an integer number (38511200).

Almost surely, 21189131048 is an apocalyptic number.

1189131048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1189131048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848537600).

1189131048 is an abundant number, since it is smaller than the sum of its proper divisors (2507944152).

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

1189131048 is a wasteful number, since it uses less digits than its factorization.

1189131048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1189131048 is about 34483.7794912333. The cubic root of 1189131048 is about 1059.4405045459.

The spelling of 1189131048 in words is "one billion, one hundred eighty-nine million, one hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 252 458 504 687 916 1374 1603 1832 2061 2748 3206 4122 4809 5496 6412 8244 9618 10303 12824 14427 16488 19236 20606 28854 30909 38472 41212 57708 61818 72121 82424 92727 115416 123636 144242 185454 216363 247272 288484 370908 432726 576968 649089 741816 865452 1298178 1730904 2359387 2596356 4718774 5192712 7078161 9437548 14156322 16515709 18875096 21234483 28312644 33031418 42468966 49547127 56625288 66062836 84937932 99094254 132125672 148641381 169875864 198188508 297282762 396377016 594565524 1189131048