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2135014038 = 2359745289
BaseRepresentation
bin111111101000001…
…1011101010010110
312111210101221200000
41333100123222112
513333030422123
6551504432130
7103623214503
oct17720335226
95453357600
102135014038
119a6183713
124b7018646
1328042a121
141637a24aa
15c7681b43
hex7f41ba96

2135014038 has 48 divisors (see below), whose sum is σ = 4846754640. Its totient is φ = 704318976.

The previous prime is 2135014019. The next prime is 2135014039. The reversal of 2135014038 is 8304105312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135014039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24498 + ... + 69786.

It is an arithmetic number, because the mean of its divisors is an integer number (100974055).

Almost surely, 22135014038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135014038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423377320).

2135014038 is an abundant number, since it is smaller than the sum of its proper divisors (2711740602).

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

2135014038 is an equidigital number, since it uses as much as digits as its factorization.

2135014038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45403 (or 45391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2135014038 is about 46206.2121148228. The cubic root of 2135014038 is about 1287.6571537581.

The spelling of 2135014038 in words is "two billion, one hundred thirty-five million, fourteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 486 582 873 1746 2619 5238 7857 15714 23571 45289 47142 90578 135867 271734 407601 815202 1222803 2445606 3668409 4393033 7336818 8786066 11005227 13179099 22010454 26358198 39537297 79074594 118611891 237223782 355835673 711671346 1067507019 2135014038