Search a number
-
+
2135024532 = 2232263225499
BaseRepresentation
bin111111101000001…
…1110001110010100
312111210102111001200
41333100132032110
513333031241112
6551504552500
7103623260214
oct17720361624
95453374050
102135024532
119a6190593
124b7022730
13280431b34
141637a6244
15c7684cdc
hex7f41e394

2135024532 has 36 divisors (see below), whose sum is σ = 5417412000. Its totient is φ = 708965712.

The previous prime is 2135024531. The next prime is 2135024537. The reversal of 2135024532 is 2354205312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2135024496 and 2135024505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135024531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103282 + ... + 122217.

Almost surely, 22135024532 is an apocalyptic number.

It is an amenable number.

2135024532 is an abundant number, since it is smaller than the sum of its proper divisors (3282387468).

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

2135024532 is a wasteful number, since it uses less digits than its factorization.

2135024532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225772 (or 225767 counting only the distinct ones).

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

The square root of 2135024532 is about 46206.3256708429. The cubic root of 2135024532 is about 1287.6592634479.

Adding to 2135024532 its reverse (2354205312), we get a palindrome (4489229844).

The spelling of 2135024532 in words is "two billion, one hundred thirty-five million, twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 225499 450998 676497 901996 1352994 2029491 2705988 4058982 8117964 59306237 118612474 177918711 237224948 355837422 533756133 711674844 1067512266 2135024532