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1404124120 = 235725119979
BaseRepresentation
bin101001110110001…
…0011101111011000
310121212002220012001
41103230103233120
510333423432440
6351155130344
746536600220
oct12354235730
93555086161
101404124120
11660656263
123322a39b4
13194b93999
14d46a7080
158340bb9a
hex53b13bd8

1404124120 has 64 divisors (see below), whose sum is σ = 3625171200. Its totient is φ = 479472000.

The previous prime is 1404124109. The next prime is 1404124133. The reversal of 1404124120 is 214214041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60291 + ... + 80269.

It is an arithmetic number, because the mean of its divisors is an integer number (56643300).

Almost surely, 21404124120 is an apocalyptic number.

1404124120 is a gapful number since it is divisible by the number (10) 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 1404124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812585600).

1404124120 is an abundant number, since it is smaller than the sum of its proper divisors (2221047080).

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

1404124120 is a wasteful number, since it uses less digits than its factorization.

1404124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1404124120 is about 37471.6442126577. The cubic root of 1404124120 is about 1119.7863431729.

Adding to 1404124120 its reverse (214214041), we get a palindrome (1618338161).

The spelling of 1404124120 in words is "one billion, four hundred four million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 502 1004 1255 1757 2008 2510 3514 5020 7028 8785 10040 14056 17570 19979 35140 39958 70280 79916 99895 139853 159832 199790 279706 399580 559412 699265 799160 1118824 1398530 2797060 5014729 5594120 10029458 20058916 25073645 35103103 40117832 50147290 70206206 100294580 140412412 175515515 200589160 280824824 351031030 702062060 1404124120