Search a number
-
+
9420849840 = 2435127309083
BaseRepresentation
bin10001100011000011…
…01100001010110000
3220022112222202110110
420301201230022300
5123243214143330
64154453301320
7452312621343
oct106141541260
926275882413
109420849840
113aa4907a16
1219ab034840
13b71a11a7c
1465528645a
153a210cdb0
hex23186c2b0

9420849840 has 80 divisors (see below), whose sum is σ = 29434687488. Its totient is φ = 2492437248.

The previous prime is 9420849827. The next prime is 9420849853. The reversal of 9420849840 is 489480249.

It is an interprime number because it is at equal distance from previous prime (9420849827) and next prime (9420849853).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9420849840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124062 + ... + 185021.

Almost surely, 29420849840 is an apocalyptic number.

It is an amenable number.

9420849840 is an abundant number, since it is smaller than the sum of its proper divisors (20013837648).

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

9420849840 is a wasteful number, since it uses less digits than its factorization.

9420849840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309226 (or 309220 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 9420849840 is about 97061.0624297921. The cubic root of 9420849840 is about 2112.0135193407.

The spelling of 9420849840 in words is "nine billion, four hundred twenty million, eight hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 309083 618166 927249 1236332 1545415 1854498 2472664 3090830 3708996 4636245 4945328 6181660 7417992 9272490 12363320 14835984 18544980 24726640 37089960 39253541 74179920 78507082 117760623 157014164 196267705 235521246 314028328 392535410 471042492 588803115 628056656 785070820 942084984 1177606230 1570141640 1884169968 2355212460 3140283280 4710424920 9420849840