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404020120 = 23572296301
BaseRepresentation
bin11000000101001…
…101101110011000
31001011020100102011
4120011031232120
51311412120440
6104031315304
713004054140
oct3005155630
91034210364
10404020120
11198071329
12b337bb34
136591b37a
143b92d920
15257099ea
hex1814db98

404020120 has 64 divisors (see below), whose sum is σ = 1043611200. Its totient is φ = 137894400.

The previous prime is 404020103. The next prime is 404020121. The reversal of 404020120 is 21020404.

It is a self number, because there is not a number n which added to its sum of digits gives 404020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60970 + ... + 67270.

It is an arithmetic number, because the mean of its divisors is an integer number (16306425).

Almost surely, 2404020120 is an apocalyptic number.

404020120 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 404020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521805600).

404020120 is an abundant number, since it is smaller than the sum of its proper divisors (639591080).

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

404020120 is a wasteful number, since it uses less digits than its factorization.

404020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 404020120 is about 20100.2517397171. The cubic root of 404020120 is about 739.2664510750.

Adding to 404020120 its reverse (21020404), we get a palindrome (425040524).

The spelling of 404020120 in words is "four hundred four million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2290 3206 4580 6301 6412 8015 9160 12602 12824 16030 25204 31505 32060 44107 50408 63010 64120 88214 126020 176428 220535 252040 352856 441070 882140 1442929 1764280 2885858 5771716 7214645 10100503 11543432 14429290 20201006 28858580 40402012 50502515 57717160 80804024 101005030 202010060 404020120