Search a number
-
+
4074170320 = 24511231011993
BaseRepresentation
bin1111001011010110…
…1110011111010000
3101111221021022000001
43302311232133100
531320441422240
61512135335344
7202650606403
oct36265563720
911457238001
104074170320
111800843510
12958521554
134cc0c048c
142a913dd3a
1518ca2689a
hexf2d6e7d0

4074170320 has 160 divisors (see below), whose sum is σ = 10895088384. Its totient is φ = 1402368000.

The previous prime is 4074170263. The next prime is 4074170339. The reversal of 4074170320 is 230714704.

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, 2043244 + ... + 2045236.

Almost surely, 24074170320 is an apocalyptic number.

4074170320 is a gapful number since it is divisible by the number (40) 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 4074170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447544192).

4074170320 is an abundant number, since it is smaller than the sum of its proper divisors (6820918064).

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

4074170320 is a wasteful number, since it uses less digits than its factorization.

4074170320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4074170320 is about 63829.2277879029. The cubic root of 4074170320 is about 1597.1525292000.

The spelling of 4074170320 in words is "four billion, seventy-four million, one hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 101 110 115 176 184 202 220 230 253 368 404 440 460 505 506 808 880 920 1010 1012 1111 1265 1616 1840 1993 2020 2024 2222 2323 2530 3986 4040 4048 4444 4646 5060 5555 7972 8080 8888 9292 9965 10120 11110 11615 15944 17776 18584 19930 20240 21923 22220 23230 25553 31888 37168 39860 43846 44440 45839 46460 51106 79720 87692 88880 91678 92920 102212 109615 127765 159440 175384 183356 185840 201293 204424 219230 229195 255530 350768 366712 402586 408848 438460 458390 504229 511060 733424 805172 876920 916780 1006465 1008458 1022120 1610344 1753840 1833560 2012930 2016916 2044240 2214223 2521145 3220688 3667120 4025860 4033832 4428446 4629739 5042290 8051720 8067664 8856892 9259478 10084580 11071115 16103440 17713784 18518956 20169160 22142230 23148695 35427568 37037912 40338320 44284460 46297390 50927129 74075824 88568920 92594780 101854258 177137840 185189560 203708516 254635645 370379120 407417032 509271290 814834064 1018542580 2037085160 4074170320