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1148916132 = 2232721350101
BaseRepresentation
bin100010001111011…
…0001000110100100
32222001212222122100
41010132301012210
54323110304012
6310001132100
740320424500
oct10436610644
92861788570
101148916132
1153a595771
1228092a030
13154049940
14ac833300
156ace98dc
hex447b11a4

1148916132 has 108 divisors (see below), whose sum is σ = 3638307036. Its totient is φ = 303004800.

The previous prime is 1148916103. The next prime is 1148916133. The reversal of 1148916132 is 2316198411.

1148916132 is a `hidden beast` number, since 11 + 489 + 161 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161951076 + 986965056 = 12726^2 + 31416^2 .

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 (1148916133) 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 35 ways as a sum of consecutive naturals, for example, 2119 + ... + 47982.

Almost surely, 21148916132 is an apocalyptic number.

1148916132 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 1148916132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819153518).

1148916132 is an abundant number, since it is smaller than the sum of its proper divisors (2489390904).

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

1148916132 is a wasteful number, since it uses less digits than its factorization.

1148916132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50138 (or 50126 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1148916132 is about 33895.6653865948. The cubic root of 1148916132 is about 1047.3603027022.

The spelling of 1148916132 in words is "one billion, one hundred forty-eight million, nine hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 50101 100202 150303 200404 300606 350707 450909 601212 651313 701414 901818 1052121 1302626 1402828 1803636 1953939 2104242 2454949 2605252 3156363 3907878 4208484 4559191 4909898 5861817 6312726 7364847 7815756 9118382 9819796 11723634 12625452 13677573 14729694 18236764 22094541 23447268 27355146 29459388 31914337 41032719 44189082 54710292 63828674 82065438 88378164 95743011 127657348 164130876 191486022 287229033 382972044 574458066 1148916132