Search a number
-
+
4660868880 = 2432563110259
BaseRepresentation
bin1000101011100111…
…10011011100010000
3110000211020200010100
410111303303130100
534021140301010
62050254332400
7223333506003
oct42563633420
913024220110
104660868880
111a81a36858
12aa0aba100
1359380c8a5
1432302353a
151c42b82c0
hex115cf3710

4660868880 has 120 divisors (see below), whose sum is σ = 15679085760. Its totient is φ = 1240807680.

The previous prime is 4660868819. The next prime is 4660868959. The reversal of 4660868880 is 888680664.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449191 + ... + 459449.

It is an arithmetic number, because the mean of its divisors is an integer number (130659048).

Almost surely, 24660868880 is an apocalyptic number.

4660868880 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 4660868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839542880).

4660868880 is an abundant number, since it is smaller than the sum of its proper divisors (11018216880).

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

4660868880 is a wasteful number, since it uses less digits than its factorization.

4660868880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 4660868880 is about 68270.5564647015. The cubic root of 4660868880 is about 1670.4069764814.

The spelling of 4660868880 in words is "four billion, six hundred sixty million, eight hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 631 720 1262 1893 2524 3155 3786 5048 5679 6310 7572 9465 10096 10259 11358 12620 15144 18930 20518 22716 25240 28395 30288 30777 37860 41036 45432 50480 51295 56790 61554 75720 82072 90864 92331 102590 113580 123108 151440 153885 164144 184662 205180 227160 246216 307770 369324 410360 454320 461655 492432 615540 738648 820720 923310 1231080 1477296 1846620 2462160 3693240 6473429 7386480 12946858 19420287 25893716 32367145 38840574 51787432 58260861 64734290 77681148 97101435 103574864 116521722 129468580 155362296 194202870 233043444 258937160 291304305 310724592 388405740 466086888 517874320 582608610 776811480 932173776 1165217220 1553622960 2330434440 4660868880