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1149891660 = 223354745307
BaseRepresentation
bin100010010001001…
…1111010001001100
32222010201112211000
41010202133101030
54323333013120
6310034100300
740331626551
oct10442372114
92863645730
101149891660
115400a1695
1228111a690
131542cb988
14aca08a28
156ae3d990
hex4489f44c

1149891660 has 96 divisors (see below), whose sum is σ = 3653637120. Its totient is φ = 300106944.

The previous prime is 1149891653. The next prime is 1149891703. The reversal of 1149891660 is 661989411.

1149891660 is a `hidden beast` number, since 11 + 498 + 91 + 6 + 60 = 666.

It is a super-4 number, since 4×11498916604 (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

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, 2727 + ... + 48033.

It is an arithmetic number, because the mean of its divisors is an integer number (38058720).

Almost surely, 21149891660 is an apocalyptic number.

1149891660 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 1149891660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826818560).

1149891660 is an abundant number, since it is smaller than the sum of its proper divisors (2503745460).

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

1149891660 is a wasteful number, since it uses less digits than its factorization.

1149891660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45372 (or 45364 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1149891660 is about 33910.0524918497. The cubic root of 1149891660 is about 1047.6566516497.

The spelling of 1149891660 in words is "one billion, one hundred forty-nine million, eight hundred ninety-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 45307 90614 135921 181228 226535 271842 407763 453070 543684 679605 815526 906140 1223289 1359210 1631052 2038815 2129429 2446578 2718420 4077630 4258858 4893156 6116445 6388287 8155260 8517716 10647145 12232890 12776574 19164861 21294290 24465780 25553148 31941435 38329722 42588580 57494583 63882870 76659444 95824305 114989166 127765740 191648610 229978332 287472915 383297220 574945830 1149891660