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1089932112 = 24341944263
BaseRepresentation
bin100000011110111…
…0000101101010000
32210221220021210000
41000331300231100
54213010311422
6300053010000
736003161433
oct10075605520
92727807700
101089932112
1150a269145
12265023900
13144a67259
14a4a7b81a
1565a47cac
hex40f70b50

1089932112 has 100 divisors (see below), whose sum is σ = 3320685280. Its totient is φ = 344181312.

The previous prime is 1089932099. The next prime is 1089932113. The reversal of 1089932112 is 2112399801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089932113) 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 19 ways as a sum of consecutive naturals, for example, 2493 + ... + 46755.

Almost surely, 21089932112 is an apocalyptic number.

1089932112 is a gapful number since it is divisible by the number (12) 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 1089932112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660342640).

1089932112 is an abundant number, since it is smaller than the sum of its proper divisors (2230753168).

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

1089932112 is a wasteful number, since it uses less digits than its factorization.

1089932112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302 (or 44287 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1089932112 is about 33014.1198883145. The cubic root of 1089932112 is about 1029.1211002491.

The spelling of 1089932112 in words is "one billion, eighty-nine million, nine hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 12312 24624 44263 88526 132789 177052 265578 354104 398367 531156 708208 796734 840997 1062312 1195101 1593468 1681994 2124624 2390202 2522991 3186936 3363988 3585303 4780404 5045982 6373872 6727976 7170606 7568973 9560808 10091964 13455952 14341212 15137946 19121616 20183928 22706919 28682424 30275892 40367856 45413838 57364848 60551784 68120757 90827676 121103568 136241514 181655352 272483028 363310704 544966056 1089932112