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1146993180 = 2235314314341
BaseRepresentation
bin100010001011101…
…1011101000011100
32221221021021211220
41010113123220130
54322112240210
6305452013340
740265165304
oct10427335034
92857237756
101146993180
115394a1a53
12280161250
131538255b8
14ac492604
156aa69c70
hex445dba1c

1146993180 has 96 divisors (see below), whose sum is σ = 3392514048. Its totient is φ = 289094400.

The previous prime is 1146993161. The next prime is 1146993203. The reversal of 1146993180 is 813996411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72810 + ... + 87150.

It is an arithmetic number, because the mean of its divisors is an integer number (35338688).

Almost surely, 21146993180 is an apocalyptic number.

1146993180 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 1146993180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696257024).

1146993180 is an abundant number, since it is smaller than the sum of its proper divisors (2245520868).

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

1146993180 is a wasteful number, since it uses less digits than its factorization.

1146993180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427 (or 14425 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1146993180 is about 33867.2877567720. The cubic root of 1146993180 is about 1046.7756507249.

The spelling of 1146993180 in words is "one billion, one hundred forty-six million, nine hundred ninety-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 86 93 124 129 155 172 186 215 258 310 372 430 465 516 620 645 860 930 1290 1333 1860 2580 2666 3999 5332 6665 7998 13330 14341 15996 19995 26660 28682 39990 43023 57364 71705 79980 86046 143410 172092 215115 286820 430230 444571 616663 860460 889142 1233326 1333713 1778284 1849989 2222855 2466652 2667426 3083315 3699978 4445710 5334852 6166630 6668565 7399956 8891420 9249945 12333260 13337130 18499890 19116553 26674260 36999780 38233106 57349659 76466212 95582765 114699318 191165530 229398636 286748295 382331060 573496590 1146993180