Search a number
-
+
8140419 = 3473293
BaseRepresentation
bin11111000011011010000011
3120022120120000
4133003122003
54040443134
6450251043
7126123000
oct37033203
916276500
108140419
114660021
122886a83
1318c0321
14111c8a7
15aabe99
hex7c3683

8140419 has 40 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 4635792.

The previous prime is 8140411. The next prime is 8140421. The reversal of 8140419 is 9140418.

It is not a de Polignac number, because 8140419 - 23 = 8140411 is a prime.

It is a super-2 number, since 2×81404192 = 132532842991122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8140392 and 8140401.

It is not an unprimeable number, because it can be changed into a prime (8140411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27637 + ... + 27929.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 28140419 is an apocalyptic number.

8140419 is a deficient number, since it is larger than the sum of its proper divisors (6089181).

8140419 is an equidigital number, since it uses as much as digits as its factorization.

8140419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8140419 is about 2853.1419523045. The cubic root of 8140419 is about 201.1633779704.

Subtracting 8140419 from its reverse (9140418), we obtain a palindrome (999999).

The spelling of 8140419 in words is "eight million, one hundred forty thousand, four hundred nineteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 293 343 441 567 879 1029 1323 2051 2637 3087 3969 6153 7911 9261 14357 18459 23733 27783 43071 55377 100499 129213 166131 301497 387639 904491 1162917 2713473 8140419