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2135530432 = 26719724197
BaseRepresentation
bin111111101001001…
…1001101111000000
312111211101012000201
41333102121233000
513333143433212
6551523454544
7103630465150
oct17722315700
95454335021
102135530432
119a64a6692
124b7227454
1328057b199
14163898760
15c7734b57
hex7f499bc0

2135530432 has 56 divisors (see below), whose sum is σ = 4867863264. Its totient is φ = 910543872.

The previous prime is 2135530409. The next prime is 2135530459. The reversal of 2135530432 is 2340355312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2135530432.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76158 + ... + 100354.

Almost surely, 22135530432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433931632).

2135530432 is an abundant number, since it is smaller than the sum of its proper divisors (2732332832).

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

2135530432 is a wasteful number, since it uses less digits than its factorization.

2135530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24413 (or 24403 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2135530432 is about 46211.7997052701. The cubic root of 2135530432 is about 1287.7609602303.

Adding to 2135530432 its reverse (2340355312), we get a palindrome (4475885744).

The spelling of 2135530432 in words is "two billion, one hundred thirty-five million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1379 1576 2758 3152 5516 6304 11032 12608 22064 24197 44128 48394 88256 96788 169379 193576 338758 387152 677516 774304 1355032 1548608 2710064 4766809 5420128 9533618 10840256 19067236 33367663 38134472 66735326 76268944 133470652 152537888 266941304 305075776 533882608 1067765216 2135530432