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4024420120 = 2357471032969
BaseRepresentation
bin1110111111011111…
…1100011100011000
3101101110122201120001
43233313330130120
531220222420440
61503201142344
7201505002160
oct35767743430
911343581501
104024420120
111785753446
1294392a9b4
134c19c19a6
142a26ad5a0
1518849ab9a
hexefdfc718

4024420120 has 128 divisors (see below), whose sum is σ = 10674892800. Its totient is φ = 1336882176.

The previous prime is 4024420079. The next prime is 4024420129. The reversal of 4024420120 is 210244204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024420129) 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, 1353996 + ... + 1356964.

It is an arithmetic number, because the mean of its divisors is an integer number (83397600).

Almost surely, 24024420120 is an apocalyptic number.

4024420120 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 4024420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337446400).

4024420120 is an abundant number, since it is smaller than the sum of its proper divisors (6650472680).

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

4024420120 is a wasteful number, since it uses less digits than its factorization.

4024420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4024420120 is about 63438.3174430092. The cubic root of 4024420120 is about 1590.6248773395.

Adding to 4024420120 its reverse (210244204), we get a palindrome (4234664324).

The spelling of 4024420120 in words is "four billion, twenty-four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 103 140 188 206 235 280 329 376 412 470 515 658 721 824 940 1030 1316 1442 1645 1880 2060 2632 2884 2969 3290 3605 4120 4841 5768 5938 6580 7210 9682 11876 13160 14420 14845 19364 20783 23752 24205 28840 29690 33887 38728 41566 48410 59380 67774 83132 96820 103915 118760 135548 139543 166264 169435 193640 207830 271096 279086 305807 338870 415660 558172 611614 677740 697715 831320 976801 1116344 1223228 1355480 1395430 1529035 1953602 2140649 2446456 2790860 3058070 3907204 4281298 4884005 5581720 6116140 7814408 8562596 9768010 10703245 12232280 14372929 17125192 19536020 21406490 28745858 39072040 42812980 57491716 71864645 85625960 100610503 114983432 143729290 201221006 287458580 402442012 503052515 574917160 804884024 1006105030 2012210060 4024420120