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2018947140 = 223357534113
BaseRepresentation
bin111100001010110…
…1011000001000100
312012201000010211000
41320111223001010
513113322302030
6532201013300
7101013524160
oct17025530104
95181003730
102018947140
11946708961
12484184230
1326237c4a2
141521cbca0
15bc3a6860
hex7856b044

2018947140 has 96 divisors (see below), whose sum is σ = 7178492160. Its totient is φ = 461472768.

The previous prime is 2018947129. The next prime is 2018947243. The reversal of 2018947140 is 417498102.

2018947140 is a `hidden beast` number, since 2 + 0 + 189 + 471 + 4 + 0 = 666.

It is a super-2 number, since 2×20189471402 = 8152295108228359200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2018947095 and 2018947104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 263277 + ... + 270836.

It is an arithmetic number, because the mean of its divisors is an integer number (74775960).

Almost surely, 22018947140 is an apocalyptic number.

2018947140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2018947140 is an abundant number, since it is smaller than the sum of its proper divisors (5159545020).

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

2018947140 is a wasteful number, since it uses less digits than its factorization.

2018947140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534138 (or 534130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2018947140 is about 44932.6956680767. The cubic root of 2018947140 is about 1263.8872016859.

The spelling of 2018947140 in words is "two billion, eighteen million, nine hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 534113 1068226 1602339 2136452 2670565 3204678 3738791 4807017 5341130 6409356 7477582 8011695 9614034 10682260 11216373 14421051 14955164 16023390 18693955 19228068 22432746 24035085 28842102 32046780 33649119 37387910 44865492 48070170 56081865 57684204 67298238 72105255 74775820 96140340 100947357 112163730 134596476 144210510 168245595 201894714 224327460 288421020 336491190 403789428 504736785 672982380 1009473570 2018947140