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4200412020 = 2235717588293
BaseRepresentation
bin1111101001011101…
…0011001101110100
3101211201211001001120
43322113103031310
532100301141040
61532445223540
7206042625120
oct37227231564
911751731046
104200412020
1118660287a2
12992861bb0
1351c2c13cc
142bbc02580
15198b617d0
hexfa5d3374

4200412020 has 96 divisors (see below), whose sum is σ = 14232008448. Its totient is φ = 903616512.

The previous prime is 4200412019. The next prime is 4200412033. The reversal of 4200412020 is 202140024.

It is a super-2 number, since 2×42004120202 = 35286922275520960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287007 + ... + 301286.

It is an arithmetic number, because the mean of its divisors is an integer number (148250088).

Almost surely, 24200412020 is an apocalyptic number.

It is an amenable number.

4200412020 is an abundant number, since it is smaller than the sum of its proper divisors (10031596428).

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

4200412020 is a wasteful number, since it uses less digits than its factorization.

4200412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588329 (or 588327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4200412020 is about 64810.5857094348. The cubic root of 4200412020 is about 1613.4814034161.

Adding to 4200412020 its reverse (202140024), we get a palindrome (4402552044).

The spelling of 4200412020 in words is "four billion, two hundred million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 588293 1176586 1764879 2353172 2941465 3529758 4118051 5882930 7059516 8236102 8824395 10000981 11765860 12354153 16472204 17648790 20001962 20590255 24708306 30002943 35297580 40003924 41180510 49416612 50004905 60005886 61770765 70006867 82361020 100009810 120011772 123541530 140013734 150014715 200019620 210020601 247083060 280027468 300029430 350034335 420041202 600058860 700068670 840082404 1050103005 1400137340 2100206010 4200412020