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4136130560 = 2115715689
BaseRepresentation
bin1111011010001000…
…0101100000000000
3101200020212012110202
43312202011200000
531432322134220
61522231344332
7204332346452
oct36642054000
911606765422
104136130560
111832813121
129752220a8
1350bba5743
142b346c2d2
151931b5275
hexf6885800

4136130560 has 96 divisors (see below), whose sum is σ = 10065837600. Its totient is φ = 1630863360.

The previous prime is 4136130517. The next prime is 4136130571. The reversal of 4136130560 is 650316314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724196 + ... + 729884.

It is an arithmetic number, because the mean of its divisors is an integer number (104852475).

Almost surely, 24136130560 is an apocalyptic number.

4136130560 is a gapful number since it is divisible by the number (40) 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 4136130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032918800).

4136130560 is an abundant number, since it is smaller than the sum of its proper divisors (5929707040).

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

4136130560 is an equidigital number, since it uses as much as digits as its factorization.

4136130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 4136130560 is about 64312.7558109587. The cubic root of 4136130560 is about 1605.2083605493.

Adding to 4136130560 its reverse (650316314), we get a palindrome (4786446874).

The spelling of 4136130560 in words is "four billion, one hundred thirty-six million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 1024 1136 1280 1420 2048 2272 2560 2840 4544 5120 5680 5689 9088 10240 11360 11378 18176 22720 22756 28445 36352 45440 45512 56890 72704 90880 91024 113780 145408 181760 182048 227560 363520 364096 403919 455120 727040 728192 807838 910240 1456384 1615676 1820480 2019595 2912768 3231352 3640960 4039190 5825536 6462704 7281920 8078380 11651072 12925408 14563840 16156760 25850816 29127680 32313520 51701632 58255360 64627040 103403264 129254080 206806528 258508160 413613056 517016320 827226112 1034032640 2068065280 4136130560