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2894142030 = 2351341473851
BaseRepresentation
bin1010110010000001…
…0001101001001110
321110200211122111120
42230200101221032
521411400021110
61155103301410
7131501541603
oct25440215116
97420748446
102894142030
11125573881a
126892aa866
1337179c5a0
141d652c6aa
1511e133870
hexac811a4e

2894142030 has 128 divisors (see below), whose sum is σ = 7827757056. Its totient is φ = 680064000.

The previous prime is 2894142019. The next prime is 2894142037. The reversal of 2894142030 is 302414982.

It is a junction number, because it is equal to n+sod(n) for n = 2894141982 and 2894142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2894142037) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 749605 + ... + 753455.

It is an arithmetic number, because the mean of its divisors is an integer number (61154352).

Almost surely, 22894142030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2894142030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913878528).

2894142030 is an abundant number, since it is smaller than the sum of its proper divisors (4933615026).

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

2894142030 is a wasteful number, since it uses less digits than its factorization.

2894142030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2894142030 is about 53797.2306908079. The cubic root of 2894142030 is about 1425.0823024179.

The spelling of 2894142030 in words is "two billion, eight hundred ninety-four million, one hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 47 65 78 82 94 123 130 141 195 205 235 246 282 390 410 470 533 611 615 705 1066 1222 1230 1410 1599 1833 1927 2665 3055 3198 3666 3851 3854 5330 5781 6110 7702 7995 9165 9635 11553 11562 15990 18330 19255 19270 23106 25051 28905 38510 50063 50102 57765 57810 75153 100126 115530 125255 150189 150306 157891 180997 250315 250510 300378 315782 361994 375765 473673 500630 542991 750945 751530 789455 904985 947346 1085982 1501890 1578910 1809970 2052583 2352961 2368365 2714955 4105166 4705922 4736730 5429910 6157749 7058883 7420877 10262915 11764805 12315498 14117766 14841754 20525830 22262631 23529610 30788745 35294415 37104385 44525262 61577490 70588830 74208770 96471401 111313155 192942802 222626310 289414203 482357005 578828406 964714010 1447071015 2894142030