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2984104140 = 223561899161
BaseRepresentation
bin1011000111011101…
…1101000011001100
321200222010012022120
42301313131003030
522102412313030
61212035412540
7133643316033
oct26167350314
97628105276
102984104140
1112a14a3676
126b3454150
1338730a1c4
1420446971a
15126ea4010
hexb1ddd0cc

2984104140 has 96 divisors (see below), whose sum is σ = 8588825280. Its totient is φ = 773836800.

The previous prime is 2984104139. The next prime is 2984104169. The reversal of 2984104140 is 414014892.

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 31 ways as a sum of consecutive naturals, for example, 321160 + ... + 330320.

It is an arithmetic number, because the mean of its divisors is an integer number (89466930).

Almost surely, 22984104140 is an apocalyptic number.

2984104140 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 2984104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294412640).

2984104140 is an abundant number, since it is smaller than the sum of its proper divisors (5604721140).

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

2984104140 is a wasteful number, since it uses less digits than its factorization.

2984104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2984104140 is about 54626.9543357489. The cubic root of 2984104140 is about 1439.6977471332.

The spelling of 2984104140 in words is "two billion, nine hundred eighty-four million, one hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 89 122 178 183 244 267 305 356 366 445 534 610 732 890 915 1068 1220 1335 1780 1830 2670 3660 5340 5429 9161 10858 16287 18322 21716 27145 27483 32574 36644 45805 54290 54966 65148 81435 91610 108580 109932 137415 162870 183220 274830 325740 549660 558821 815329 1117642 1630658 1676463 2235284 2445987 2794105 3261316 3352926 4076645 4891974 5588210 6705852 8153290 8382315 9783948 11176420 12229935 16306580 16764630 24459870 33529260 48919740 49735069 99470138 149205207 198940276 248675345 298410414 497350690 596820828 746026035 994701380 1492052070 2984104140