Search a number
-
+
2058541980 = 22351131100613
BaseRepresentation
bin111101010110010…
…1101101110011100
312022110111202201120
41322230231232130
513203441320410
6540133410540
7102004214055
oct17254555634
95273452646
102058541980
11966aa2070
12495499a50
1326a6337a1
1415757772c
15c0ac8570
hex7ab2db9c

2058541980 has 96 divisors (see below), whose sum is σ = 6490810368. Its totient is φ = 482937600.

The previous prime is 2058541943. The next prime is 2058541993. The reversal of 2058541980 is 891458502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29847 + ... + 70766.

It is an arithmetic number, because the mean of its divisors is an integer number (67612608).

Almost surely, 22058541980 is an apocalyptic number.

2058541980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058541980 is an abundant number, since it is smaller than the sum of its proper divisors (4432268388).

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

2058541980 is a wasteful number, since it uses less digits than its factorization.

2058541980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100667 (or 100665 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 2058541980 is about 45371.1580191646. The cubic root of 2058541980 is about 1272.0960653881.

The spelling of 2058541980 in words is "two billion, fifty-eight million, five hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 100613 201226 301839 402452 503065 603678 1006130 1106743 1207356 1509195 2012260 2213486 3018390 3119003 3320229 4426972 5533715 6036780 6238006 6640458 9357009 11067430 12476012 13280916 15595015 16601145 18714018 22134860 31190030 33202290 34309033 37428036 46785045 62380060 66404580 68618066 93570090 102927099 137236132 171545165 187140180 205854198 343090330 411708396 514635495 686180660 1029270990 2058541980