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2830949000 = 235311614219
BaseRepresentation
bin1010100010111100…
…1101101010001000
321022021221002221222
42220233031222020
521244210332000
61144525021212
7130103445425
oct25057155210
97267832858
102830949000
111222aa6980
126700b4808
13361675169
141cbd9cd4c
151187eea85
hexa8bcda88

2830949000 has 128 divisors (see below), whose sum is σ = 7346851200. Its totient is φ = 1012320000.

The previous prime is 2830948993. The next prime is 2830949003. The reversal of 2830949000 is 9490382.

It is not an unprimeable number, because it can be changed into a prime (2830949003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668891 + ... + 673109.

It is an arithmetic number, because the mean of its divisors is an integer number (57397275).

Almost surely, 22830949000 is an apocalyptic number.

2830949000 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 2830949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673425600).

2830949000 is an abundant number, since it is smaller than the sum of its proper divisors (4515902200).

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

2830949000 is a wasteful number, since it uses less digits than its factorization.

2830949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2830949000 is about 53206.6631165684. The cubic root of 2830949000 is about 1414.6337500579.

The spelling of 2830949000 in words is "two billion, eight hundred thirty million, nine hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 440 488 500 550 610 671 1000 1100 1220 1342 1375 1525 2200 2440 2684 2750 3050 3355 4219 5368 5500 6100 6710 7625 8438 11000 12200 13420 15250 16775 16876 21095 26840 30500 33550 33752 42190 46409 61000 67100 83875 84380 92818 105475 134200 167750 168760 185636 210950 232045 257359 335500 371272 421900 464090 514718 527375 671000 843800 928180 1029436 1054750 1160225 1286795 1856360 2058872 2109500 2320450 2573590 2830949 4219000 4640900 5147180 5661898 5801125 6433975 9281800 10294360 11323796 11602250 12867950 14154745 22647592 23204500 25735900 28309490 32169875 46409000 51471800 56618980 64339750 70773725 113237960 128679500 141547450 257359000 283094900 353868625 566189800 707737250 1415474500 2830949000