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4135243420 = 2257115474909
BaseRepresentation
bin1111011001111010…
…1100111010011100
3101200012012010112201
43312132230322130
531432110242140
61522200341244
7204321663160
oct36636547234
911605163481
104135243420
111832267650
12974a74824
1350b9549c9
142b32baca0
1519308c49a
hexf67ace9c

4135243420 has 96 divisors (see below), whose sum is σ = 10848821760. Its totient is φ = 1286288640.

The previous prime is 4135243403. The next prime is 4135243423. The reversal of 4135243420 is 243425314.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135243423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839926 + ... + 844834.

It is an arithmetic number, because the mean of its divisors is an integer number (113008560).

Almost surely, 24135243420 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 4135243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424410880).

4135243420 is an abundant number, since it is smaller than the sum of its proper divisors (6713578340).

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

4135243420 is a wasteful number, since it uses less digits than its factorization.

4135243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4135243420 is about 64305.8583645378. The cubic root of 4135243420 is about 1605.0935877080.

Adding to 4135243420 its reverse (243425314), we get a palindrome (4378668734).

The spelling of 4135243420 in words is "four billion, one hundred thirty-five million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 547 770 1094 1540 2188 2735 3829 4909 5470 6017 7658 9818 10940 12034 15316 19145 19636 24068 24545 30085 34363 38290 42119 49090 53999 60170 68726 76580 84238 98180 107998 120340 137452 168476 171815 210595 215996 269995 343630 377993 421190 539990 687260 755986 842380 1079980 1511972 1889965 2685223 3779930 5370446 7559860 10740892 13426115 18796561 26852230 29537453 37593122 53704460 59074906 75186244 93982805 118149812 147687265 187965610 206762171 295374530 375931220 413524342 590749060 827048684 1033810855 2067621710 4135243420