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1145234916 = 223377012161
BaseRepresentation
bin100010001000010…
…1110010111100100
32221210221221222000
41010100232113210
54321140004131
6305350205300
740244223210
oct10420562744
92853857860
101145234916
11538500a41
1227b653830
1315335b1c7
14ac155940
156a81dce6
hex4442e5e4

1145234916 has 96 divisors (see below), whose sum is σ = 3399701760. Its totient is φ = 326592000.

The previous prime is 1145234897. The next prime is 1145234917. The reversal of 1145234916 is 6194325411.

It is a happy number.

1145234916 is a `hidden beast` number, since 1 + 145 + 23 + 491 + 6 = 666.

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 (1145234917) 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 31 ways as a sum of consecutive naturals, for example, 528876 + ... + 531036.

It is an arithmetic number, because the mean of its divisors is an integer number (35413560).

Almost surely, 21145234916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145234916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699850880).

1145234916 is an abundant number, since it is smaller than the sum of its proper divisors (2254466844).

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

1145234916 is a wasteful number, since it uses less digits than its factorization.

1145234916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2874 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1145234916 is about 33841.3196551198. The cubic root of 1145234916 is about 1046.2404981087.

The spelling of 1145234916 in words is "one billion, one hundred forty-five million, two hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 701 756 1402 2103 2161 2804 4206 4322 4907 6309 6483 8412 8644 9814 12618 12966 14721 15127 18927 19449 19628 25236 25932 29442 30254 37854 38898 44163 45381 58347 58884 60508 75708 77796 88326 90762 116694 132489 136143 176652 181524 233388 264978 272286 408429 529956 544572 816858 1514861 1633716 3029722 4544583 6059444 9089166 10604027 13633749 18178332 21208054 27267498 31812081 40901247 42416108 54534996 63624162 81802494 95436243 127248324 163604988 190872486 286308729 381744972 572617458 1145234916