Search a number
-
+
402135019 = 111319891663
BaseRepresentation
bin10111111110000…
…001011111101011
31001000200120112121
4113332001133223
51310421310034
6103523052111
712652043206
oct2776013753
91030616477
10402135019
11196aa3aa0
12b2811037
136540b320
143b59c93d
15254861b4
hex17f817eb

402135019 has 32 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 315912960.

The previous prime is 402135001. The next prime is 402135047. The reversal of 402135019 is 910531204.

It is not a de Polignac number, because 402135019 - 25 = 402134987 is a prime.

It is a super-2 number, since 2×4021350192 = 323425147012260722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402134984 and 402135002.

It is not an unprimeable number, because it can be changed into a prime (402135089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240982 + ... + 242644.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2402135019 is an apocalyptic number.

402135019 is a deficient number, since it is larger than the sum of its proper divisors (101058581).

402135019 is a wasteful number, since it uses less digits than its factorization.

402135019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 402135019 is about 20053.3044409145. The cubic root of 402135019 is about 738.1148871408.

The spelling of 402135019 in words is "four hundred two million, one hundred thirty-five thousand, nineteen".

Divisors: 1 11 13 19 89 143 209 247 979 1157 1663 1691 2717 12727 18293 18601 21619 21983 31597 148007 237809 241813 347567 410761 1628077 1924091 2812133 4518371 21165001 30933463 36557729 402135019