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1149988140 = 2232573832383
BaseRepresentation
bin100010010001011…
…0110110100101100
32222010220110011100
41010202312310230
54323344110030
6310040123100
740332511050
oct10442666454
92863813140
101149988140
11540158124
12281166490
13154333872
14aca31c60
156ae5c360
hex448b6d2c

1149988140 has 144 divisors (see below), whose sum is σ = 3998711808. Its totient is φ = 262058112.

The previous prime is 1149988111. The next prime is 1149988141. The reversal of 1149988140 is 418899411.

1149988140 is a `hidden beast` number, since 11 + 499 + 8 + 8 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1149988141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481389 + ... + 483771.

It is an arithmetic number, because the mean of its divisors is an integer number (27768832).

Almost surely, 21149988140 is an apocalyptic number.

1149988140 is a gapful number since it is divisible by the number (10) 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 1149988140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999355904).

1149988140 is an abundant number, since it is smaller than the sum of its proper divisors (2848723668).

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

1149988140 is a wasteful number, since it uses less digits than its factorization.

1149988140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1149988140 is about 33911.4750490155. The cubic root of 1149988140 is about 1047.6859515366.

The spelling of 1149988140 in words is "one billion, one hundred forty-nine million, nine hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 383 420 630 766 1149 1260 1532 1915 2298 2383 2681 3447 3830 4596 4766 5362 5745 6894 7149 7660 8043 9532 10724 11490 11915 13405 13788 14298 16086 16681 17235 21447 22980 23830 24129 26810 28596 32172 33362 34470 35745 40215 42894 47660 48258 50043 53620 66724 68940 71490 80430 83405 85788 96516 100086 107235 120645 142980 150129 160860 166810 200172 214470 241290 250215 300258 333620 428940 482580 500430 600516 750645 912689 1000860 1501290 1825378 2738067 3002580 3650756 4563445 5476134 6388823 8214201 9126890 10952268 12777646 13690335 16428402 18253780 19166469 25555292 27380670 31944115 32856804 38332938 41071005 54761340 57499407 63888230 76665876 82142010 95832345 114998814 127776460 164284020 191664690 229997628 287497035 383329380 574994070 1149988140