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2135132020 = 225729352051
BaseRepresentation
bin111111101000011…
…1000011101110100
312111210121221111201
41333100320131310
513333043211040
6551511142244
7103624215460
oct17720703564
95453557451
102135132020
119a625431a
124b7074984
1328046ba38
141637d34a0
15c76a6a9a
hex7f438774

2135132020 has 48 divisors (see below), whose sum is σ = 5141904768. Its totient is φ = 729532800.

The previous prime is 2135131991. The next prime is 2135132023. The reversal of 2135132020 is 202315312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135132023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14995 + ... + 67045.

It is an arithmetic number, because the mean of its divisors is an integer number (107123016).

Almost surely, 22135132020 is an apocalyptic number.

2135132020 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 2135132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570952384).

2135132020 is an abundant number, since it is smaller than the sum of its proper divisors (3006772748).

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

2135132020 is a wasteful number, since it uses less digits than its factorization.

2135132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52360 (or 52358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2135132020 is about 46207.4887869921. The cubic root of 2135132020 is about 1287.6808721920.

Adding to 2135132020 its reverse (202315312), we get a palindrome (2337447332).

The spelling of 2135132020 in words is "two billion, one hundred thirty-five million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5860 8204 10255 20510 41020 52051 104102 208204 260255 364357 520510 728714 1041020 1457428 1821785 3643570 7287140 15250943 30501886 61003772 76254715 106756601 152509430 213513202 305018860 427026404 533783005 1067566010 2135132020