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2135430660 = 22351129315961
BaseRepresentation
bin111111101001000…
…0001011000000100
312111211012010011110
41333102001120010
513333132240120
6551521405020
7103626601236
oct17722013004
95454163143
102135430660
119a6438730
124b7199770
1328054494c
14163870256
15c77152e0
hex7f481604

2135430660 has 384 divisors, whose sum is σ = 7199539200. Its totient is φ = 467712000.

The previous prime is 2135430659. The next prime is 2135430677. The reversal of 2135430660 is 660345312.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35007030 + ... + 35007090.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 22135430660 is an apocalyptic number.

2135430660 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 2135430660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

2135430660 is an abundant number, since it is smaller than the sum of its proper divisors (5064108540).

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

2135430660 is a wasteful number, since it uses less digits than its factorization.

2135430660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2135430660 is about 46210.7201848229. The cubic root of 2135430660 is about 1287.7409051836.

Adding to 2135430660 its reverse (660345312), we get a palindrome (2795775972).

The spelling of 2135430660 in words is "two billion, one hundred thirty-five million, four hundred thirty thousand, six hundred sixty".