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4130001340 = 225416182567
BaseRepresentation
bin1111011000101010…
…1101000110111100
3101122211022210202121
43312022231012330
531424240020330
61521452132324
7204226301143
oct36612550674
911584283677
104130001340
11182a307153
129731670a4
1350a83a99a
142b271475a
151928a417a
hexf62ad1bc

4130001340 has 48 divisors (see below), whose sum is σ = 9030297024. Its totient is φ = 1585267200.

The previous prime is 4130001313. The next prime is 4130001341. The reversal of 4130001340 is 431000314.

It is a super-2 number, since 2×41300013402 = 34113822136803591200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130001341) 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, 8737 + ... + 91303.

It is an arithmetic number, because the mean of its divisors is an integer number (188131188).

Almost surely, 24130001340 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 4130001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515148512).

4130001340 is an abundant number, since it is smaller than the sum of its proper divisors (4900295684).

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

4130001340 is a wasteful number, since it uses less digits than its factorization.

4130001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82678 (or 82676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4130001340 is about 64265.0864778069. The cubic root of 4130001340 is about 1604.4150636148.

Adding to 4130001340 its reverse (431000314), we get a palindrome (4561001654).

The spelling of 4130001340 in words is "four billion, one hundred thirty million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020 82567 165134 330268 412835 825670 1651340 3385247 5036587 6770494 10073174 13540988 16926235 20146348 25182935 33852470 50365870 67704940 100731740 206500067 413000134 826000268 1032500335 2065000670 4130001340