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4096740560 = 245112835099
BaseRepresentation
bin1111010000101111…
…0100110011010000
3101120111201222112212
43310023310303100
531342231144220
61514303211252
7203343502013
oct36413646320
911514658485
104096740560
111812559900
12963ba6b28
13503993753
142ac13737a
1518e9d40c5
hexf42f4cd0

4096740560 has 120 divisors (see below), whose sum is σ = 10597759200. Its totient is φ = 1471486720.

The previous prime is 4096740553. The next prime is 4096740569. The reversal of 4096740560 is 650476904.

4096740560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40967405602 = 33566566431898227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096740569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800891 + ... + 805989.

It is an arithmetic number, because the mean of its divisors is an integer number (88314660).

Almost surely, 24096740560 is an apocalyptic number.

4096740560 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 4096740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298879600).

4096740560 is an abundant number, since it is smaller than the sum of its proper divisors (6501018640).

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

4096740560 is a wasteful number, since it uses less digits than its factorization.

4096740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 4096740560 is about 64005.7853635123. The cubic root of 4096740560 is about 1600.0964212726.

The spelling of 4096740560 in words is "four billion, ninety-six million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 121 166 176 220 242 332 415 440 484 605 664 830 880 913 968 1210 1328 1660 1826 1936 2420 3320 3652 4565 4840 5099 6640 7304 9130 9680 10043 10198 14608 18260 20086 20396 25495 36520 40172 40792 50215 50990 56089 73040 80344 81584 100430 101980 112178 160688 200860 203960 224356 280445 401720 407920 423217 448712 560890 616979 803440 846434 897424 1121780 1233958 1692868 2116085 2243560 2467916 3084895 3385736 4232170 4487120 4655387 4935832 6169790 6771472 8464340 9310774 9871664 12339580 16928680 18621548 23276935 24679160 33857360 37243096 46553870 49358320 51209257 74486192 93107740 102418514 186215480 204837028 256046285 372430960 409674056 512092570 819348112 1024185140 2048370280 4096740560