Search a number
-
+
4230420240 = 243529607819
BaseRepresentation
bin1111110000100111…
…0001011100010000
3101220211021121121010
43330021301130100
532130441421430
61535440330520
7206555656464
oct37411613420
911824247533
104230420240
111880a64382
129a0913a40
1352559a057
142c1bb44a4
1519b5dccb0
hexfc271710

4230420240 has 80 divisors (see below), whose sum is σ = 13566542400. Its totient is φ = 1089209856.

The previous prime is 4230420169. The next prime is 4230420247. The reversal of 4230420240 is 420240324.

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 (4230420247) 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, 296950 + ... + 310869.

It is an arithmetic number, because the mean of its divisors is an integer number (169581780).

Almost surely, 24230420240 is an apocalyptic number.

4230420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4230420240 is an abundant number, since it is smaller than the sum of its proper divisors (9336122160).

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

4230420240 is a wasteful number, since it uses less digits than its factorization.

4230420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607864 (or 607858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4230420240 is about 65041.6807900903. The cubic root of 4230420240 is about 1617.3145876862.

Adding to 4230420240 its reverse (420240324), we get a palindrome (4650660564).

The spelling of 4230420240 in words is "four billion, two hundred thirty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 607819 1215638 1823457 2431276 3039095 3646914 4862552 6078190 7293828 9117285 9725104 12156380 14587656 17626751 18234570 24312760 29175312 35253502 36469140 48625520 52880253 70507004 72938280 88133755 105760506 141014008 145876560 176267510 211521012 264401265 282028016 352535020 423042024 528802530 705070040 846084048 1057605060 1410140080 2115210120 4230420240