Search a number
-
+
4220732560 = 245115981293
BaseRepresentation
bin1111101110010011…
…0100010010010000
3101220011001102121011
43323210310102100
532121001420220
61534452540304
7206410430512
oct37344642220
911804042534
104220732560
111876547930
12999621694
135235876b5
142c07b1bb2
1519a82765a
hexfb934490

4220732560 has 80 divisors (see below), whose sum is σ = 10886892480. Its totient is φ = 1508779520.

The previous prime is 4220732519. The next prime is 4220732563. The reversal of 4220732560 is 652370224.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4220732563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11274 + ... + 92566.

It is an arithmetic number, because the mean of its divisors is an integer number (136086156).

Almost surely, 24220732560 is an apocalyptic number.

4220732560 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 4220732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443446240).

4220732560 is an abundant number, since it is smaller than the sum of its proper divisors (6666159920).

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

4220732560 is a wasteful number, since it uses less digits than its factorization.

4220732560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81376 (or 81370 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 4220732560 is about 64967.1652452221. The cubic root of 4220732560 is about 1616.0790917242.

The spelling of 4220732560 in words is "four billion, two hundred twenty million, seven hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 51920 81293 162586 325172 406465 650344 812930 894223 1300688 1625860 1788446 3251720 3576892 4471115 4796287 6503440 7153784 8942230 9592574 14307568 17884460 19185148 23981435 35768920 38370296 47962870 52759157 71537840 76740592 95925740 105518314 191851480 211036628 263795785 383702960 422073256 527591570 844146512 1055183140 2110366280 4220732560