Search a number
-
+
8340122640 = 243537939203
BaseRepresentation
bin1111100010001110…
…00010110000010000
3210112020102010110010
413301013002300100
5114040032411030
63455325434520
7413450605233
oct76107026020
923466363403
108340122640
11359a866643
12174910ba40
13a2bb4b515
1459192341a
1533c2d26b0
hex1f11c2c10

8340122640 has 80 divisors (see below), whose sum is σ = 26553175488. Its totient is φ = 2163921408.

The previous prime is 8340122617. The next prime is 8340122641. The reversal of 8340122640 is 462210438.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 8340122598 and 8340122607.

It is not an unprimeable number, because it can be changed into a prime (8340122641) by changing a digit.

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, 460722 + ... + 478481.

Almost surely, 28340122640 is an apocalyptic number.

8340122640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8340122640 is an abundant number, since it is smaller than the sum of its proper divisors (18213052848).

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

8340122640 is a wasteful number, since it uses less digits than its factorization.

8340122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939256 (or 939250 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8340122640 is about 91324.2719105934. The cubic root of 8340122640 is about 2027.9511015290.

The spelling of 8340122640 in words is "eight billion, three hundred forty million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 939203 1878406 2817609 3756812 4696015 5635218 7513624 9392030 11270436 14088045 15027248 18784060 22540872 28176090 34750511 37568120 45081744 56352180 69501022 75136240 104251533 112704360 139002044 173752555 208503066 225408720 278004088 347505110 417006132 521257665 556008176 695010220 834012264 1042515330 1390020440 1668024528 2085030660 2780040880 4170061320 8340122640