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2420523135 = 33529618269
BaseRepresentation
bin1001000001000110…
…0100000001111111
320020200122022112000
42100101210001333
514424123220020
61040104113343
7113661051522
oct22021440177
96220568460
102420523135
11103235a948
12576765853
132c7623214
1418d682bb9
15e277c090
hex9046407f

2420523135 has 32 divisors (see below), whose sum is σ = 4451544000. Its totient is φ = 1246428288.

The previous prime is 2420523113. The next prime is 2420523139. The reversal of 2420523135 is 5313250242.

It is a happy number.

2420523135 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 523 + 135 = 666.

It is not a de Polignac number, because 2420523135 - 211 = 2420521087 is a prime.

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 = 2420523099 and 2420523108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420523139) 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 31 ways as a sum of consecutive naturals, for example, 305220 + ... + 313049.

It is an arithmetic number, because the mean of its divisors is an integer number (139110750).

Almost surely, 22420523135 is an apocalyptic number.

2420523135 is a deficient number, since it is larger than the sum of its proper divisors (2031020865).

2420523135 is a wasteful number, since it uses less digits than its factorization.

2420523135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618312 (or 618306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2420523135 is about 49198.8123332261. The cubic root of 2420523135 is about 1342.6714240698.

Adding to 2420523135 its reverse (5313250242), we get a palindrome (7733773377).

The spelling of 2420523135 in words is "two billion, four hundred twenty million, five hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 3915 618269 1854807 3091345 5564421 9274035 16693263 17929801 27822105 53789403 83466315 89649005 161368209 268947015 484104627 806841045 2420523135