Search a number
-
+
420040313 = 71138314243
BaseRepresentation
bin11001000010010…
…100111001111001
31002021101020222122
4121002110321321
51330012242223
6105402531025
713260166220
oct3102247171
91067336878
10420040313
111a6113560
12b8806a75
136903a184
143daddcb7
1526d215c8
hex19094e79

420040313 has 16 divisors (see below), whose sum is σ = 525090816. Its totient is φ = 326426640.

The previous prime is 420040303. The next prime is 420040333. The reversal of 420040313 is 313040024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420040313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420040291 and 420040300.

It is not an unprimeable number, because it can be changed into a prime (420040303) 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, 22370 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (32818176).

Almost surely, 2420040313 is an apocalyptic number.

It is an amenable number.

420040313 is a deficient number, since it is larger than the sum of its proper divisors (105050503).

420040313 is a wasteful number, since it uses less digits than its factorization.

420040313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 420040313 is about 20494.8850448106. The cubic root of 420040313 is about 748.9111981865.

Adding to 420040313 its reverse (313040024), we get a palindrome (733080337).

The spelling of 420040313 in words is "four hundred twenty million, forty thousand, three hundred thirteen".

Divisors: 1 7 11 77 383 2681 4213 14243 29491 99701 156673 1096711 5455069 38185483 60005759 420040313