Search a number
-
+
230405709360 = 2435960023789
BaseRepresentation
bin1101011010010101000…
…0000001111000110000
3211000201100222202111010
43112211100001320300
512233332330144420
6253502533550520
722434445133661
oct3264520017060
9730640882433
10230405709360
118979501a722
12387a24a5440
131895b774488
14b21a379368
155ed79dd4e0
hex35a5401e30

230405709360 has 40 divisors (see below), whose sum is σ = 714257699760. Its totient is φ = 61441522432.

The previous prime is 230405709343. The next prime is 230405709367. The reversal of 230405709360 is 63907504032.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (230405709367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480011655 + ... + 480012134.

It is an arithmetic number, because the mean of its divisors is an integer number (17856442494).

Almost surely, 2230405709360 is an apocalyptic number.

230405709360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230405709360 is an abundant number, since it is smaller than the sum of its proper divisors (483851990400).

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

230405709360 is a wasteful number, since it uses less digits than its factorization.

230405709360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960023805 (or 960023799 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 230405709360 in words is "two hundred thirty billion, four hundred five million, seven hundred nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 960023789 1920047578 2880071367 3840095156 4800118945 5760142734 7680190312 9600237890 11520285468 14400356835 15360380624 19200475780 23040570936 28800713670 38400951560 46081141872 57601427340 76801903120 115202854680 230405709360