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2675020380 = 2235173122729
BaseRepresentation
bin1001111101110001…
…1001001001011100
320220102112010002220
42133130121021130
520434301123010
61121234545340
7123201204144
oct23734311134
96812463086
102675020380
111152a8544a
12627a38250
1333827b8c6
141b53ad924
15109c9d970
hex9f71925c

2675020380 has 144 divisors (see below), whose sum is σ = 8197731360. Its totient is φ = 649482240.

The previous prime is 2675020357. The next prime is 2675020429. The reversal of 2675020380 is 830205762.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978856 + ... + 981584.

It is an arithmetic number, because the mean of its divisors is an integer number (56928690).

Almost surely, 22675020380 is an apocalyptic number.

2675020380 is a gapful number since it is divisible by the number (20) 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 2675020380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098865680).

2675020380 is an abundant number, since it is smaller than the sum of its proper divisors (5522710980).

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

2675020380 is a wasteful number, since it uses less digits than its factorization.

2675020380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2675020380 is about 51720.5991844642. The cubic root of 2675020380 is about 1388.1690745989.

The spelling of 2675020380 in words is "two billion, six hundred seventy-five million, twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 961 1020 1054 1581 1860 1922 2108 2635 2729 2883 3162 3844 4805 5270 5458 5766 6324 7905 8187 9610 10540 10916 11532 13645 14415 15810 16337 16374 19220 27290 28830 31620 32674 32748 40935 46393 49011 54580 57660 65348 81685 81870 84599 92786 98022 139179 163370 163740 169198 185572 196044 231965 245055 253797 278358 326740 338396 422995 463930 490110 507594 556716 695895 845990 927860 980220 1015188 1268985 1391790 1438183 1691980 2537970 2622569 2783580 2876366 4314549 5075940 5245138 5752732 7190915 7867707 8629098 10490276 13112845 14381830 15735414 17258196 21572745 26225690 28763660 31470828 39338535 43145490 44583673 52451380 78677070 86290980 89167346 133751019 157354140 178334692 222918365 267502038 445836730 535004076 668755095 891673460 1337510190 2675020380