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1149048160 = 255131314217
BaseRepresentation
bin100010001111101…
…0001010101100000
32222002010200202021
41010133101111200
54323124020120
6310004031224
740321514431
oct10437212540
92862120667
101149048160
1153a675987
12280992514
13154094a70
14ac869488
156ad23aaa
hex447d1560

1149048160 has 96 divisors (see below), whose sum is σ = 2946458592. Its totient is φ = 420925440.

The previous prime is 1149048149. The next prime is 1149048163. The reversal of 1149048160 is 618409411.

1149048160 = T201 + T202 + ... + T1903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149048163) 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 15 ways as a sum of consecutive naturals, for example, 270372 + ... + 274588.

It is an arithmetic number, because the mean of its divisors is an integer number (30692277).

Almost surely, 21149048160 is an apocalyptic number.

1149048160 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 1149048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473229296).

1149048160 is an abundant number, since it is smaller than the sum of its proper divisors (1797410432).

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

1149048160 is a wasteful number, since it uses less digits than its factorization.

1149048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1149048160 is about 33897.6128953058. The cubic root of 1149048160 is about 1047.4004203939.

The spelling of 1149048160 in words is "one billion, one hundred forty-nine million, forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 131 160 208 260 262 416 520 524 655 1040 1048 1310 1703 2080 2096 2620 3406 4192 4217 5240 6812 8434 8515 10480 13624 16868 17030 20960 21085 27248 33736 34060 42170 54496 54821 67472 68120 84340 109642 134944 136240 168680 219284 272480 274105 337360 438568 548210 552427 674720 877136 1096420 1104854 1754272 2192840 2209708 2762135 4385680 4419416 5524270 7181551 8771360 8838832 11048540 14363102 17677664 22097080 28726204 35907755 44194160 57452408 71815510 88388320 114904816 143631020 229809632 287262040 574524080 1149048160