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386877060 = 223451311823
BaseRepresentation
bin10111000011110…
…100011010000100
3222221222101120000
4113003310122010
51243020031220
6102220041300
712405254313
oct2703643204
9887871500
10386877060
11189422509
12a9693230
13621c844b
143954a27a
1523e70390
hex170f4684

386877060 has 120 divisors (see below), whose sum is σ = 1223582976. Its totient is φ = 102323520.

The previous prime is 386877013. The next prime is 386877061. The reversal of 386877060 is 60778683.

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

It is a junction number, because it is equal to n+sod(n) for n = 386876997 and 386877015.

It is not an unprimeable number, because it can be changed into a prime (386877061) 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 39 ways as a sum of consecutive naturals, for example, 211309 + ... + 213131.

Almost surely, 2386877060 is an apocalyptic number.

386877060 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 386877060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611791488).

386877060 is an abundant number, since it is smaller than the sum of its proper divisors (836705916).

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

386877060 is a wasteful number, since it uses less digits than its factorization.

386877060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 386877060 is about 19669.1906290015. The cubic root of 386877060 is about 728.6589879938.

The spelling of 386877060 in words is "three hundred eighty-six million, eight hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1823 1965 2358 2620 3537 3646 3930 4716 5469 5895 7074 7292 7860 9115 10611 10938 11790 14148 16407 17685 18230 21222 21876 23580 27345 32814 35370 36460 42444 49221 53055 54690 65628 70740 82035 98442 106110 109380 147663 164070 196884 212220 238813 246105 295326 328140 477626 492210 590652 716439 738315 955252 984420 1194065 1432878 1476630 2149317 2388130 2865756 2953260 3582195 4298634 4776260 6447951 7164390 8597268 10746585 12895902 14328780 19343853 21493170 25791804 32239755 38687706 42986340 64479510 77375412 96719265 128959020 193438530 386877060