Search a number
-
+
2135331660 = 22357114111273
BaseRepresentation
bin111111101000110…
…1001001101001100
312111211000002100210
41333101221031030
513333121103120
6551515322420
7103626006510
oct17721511514
95454002323
102135331660
119a6380310
124b7150410
1328050b877
14163846140
15c76e5ce0
hex7f46934c

2135331660 has 192 divisors, whose sum is σ = 7636737024. Its totient is φ = 432844800.

The previous prime is 2135331647. The next prime is 2135331673. The reversal of 2135331660 is 661335312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2135331647) and next prime (2135331673).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 183784 + ... + 195056.

It is an arithmetic number, because the mean of its divisors is an integer number (39774672).

Almost surely, 22135331660 is an apocalyptic number.

2135331660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135331660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818368512).

2135331660 is an abundant number, since it is smaller than the sum of its proper divisors (5501405364).

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

2135331660 is a wasteful number, since it uses less digits than its factorization.

2135331660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 2135331660 is about 46209.6489923912. The cubic root of 2135331660 is about 1287.7210046982.

Adding to 2135331660 its reverse (661335312), we get a palindrome (2796666972).

The spelling of 2135331660 in words is "two billion, one hundred thirty-five million, three hundred thirty-one thousand, six hundred sixty".