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387991080 = 23335596089
BaseRepresentation
bin10111001000000…
…100011000101000
31000001001222201000
4113020010120220
51243311203310
6102255555000
712420604221
oct2710043050
91001058630
10387991080
1118a013494
12a9b2ba60
13624c8529
143975a248
15240e04c0
hex17204628

387991080 has 128 divisors (see below), whose sum is σ = 1315440000. Its totient is φ = 101693952.

The previous prime is 387991069. The next prime is 387991081. The reversal of 387991080 is 80199783.

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 (387991081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60676 + ... + 66764.

It is an arithmetic number, because the mean of its divisors is an integer number (10276875).

Almost surely, 2387991080 is an apocalyptic number.

387991080 is a gapful number since it is divisible by the number (30) 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 387991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657720000).

387991080 is an abundant number, since it is smaller than the sum of its proper divisors (927448920).

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

387991080 is a wasteful number, since it uses less digits than its factorization.

387991080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 387991080 is about 19697.4891800960. The cubic root of 387991080 is about 729.3577136551.

The spelling of 387991080 in words is "three hundred eighty-seven million, nine hundred ninety-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2124 2360 2655 3186 3540 4248 5310 6089 6372 7080 7965 10620 12178 12744 15930 18267 21240 24356 30445 31860 36534 48712 54801 60890 63720 73068 91335 109602 121780 146136 164403 182670 219204 243560 274005 328806 359251 365340 438408 548010 657612 718502 730680 822015 1077753 1096020 1315224 1437004 1644030 1796255 2155506 2192040 2874008 3233259 3288060 3592510 4311012 5388765 6466518 6576120 7185020 8622024 9699777 10777530 12933036 14370040 16166295 19399554 21555060 25866072 32332590 38799108 43110120 48498885 64665180 77598216 96997770 129330360 193995540 387991080