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404040540 = 2235231132591
BaseRepresentation
bin11000000101010…
…010101101011100
31001011021101102110
4120011102231130
51311413244130
6104031554020
713004200521
oct3005225534
91034241373
10404040540
11198085702
12b338b910
1365927757
143b937148
1525710ab0
hex18152b5c

404040540 has 96 divisors (see below), whose sum is σ = 1191407616. Its totient is φ = 102108160.

The previous prime is 404040503. The next prime is 404040587. The reversal of 404040540 is 45040404.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154645 + ... + 157235.

It is an arithmetic number, because the mean of its divisors is an integer number (12410496).

Almost surely, 2404040540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595703808).

404040540 is an abundant number, since it is smaller than the sum of its proper divisors (787367076).

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

404040540 is a wasteful number, since it uses less digits than its factorization.

404040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 404040540 is about 20100.7596871362. The cubic root of 404040540 is about 739.2789055427.

Adding to 404040540 its reverse (45040404), we get a palindrome (449080944).

The spelling of 404040540 in words is "four hundred four million, forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 113 115 138 226 230 276 339 345 452 460 565 678 690 1130 1356 1380 1695 2260 2591 2599 3390 5182 5198 6780 7773 7797 10364 10396 12955 12995 15546 15594 25910 25990 31092 31188 38865 38985 51820 51980 59593 77730 77970 119186 155460 155940 178779 238372 292783 297965 357558 585566 595930 715116 878349 893895 1171132 1191860 1463915 1756698 1787790 2927830 3513396 3575580 4391745 5855660 6734009 8783490 13468018 17566980 20202027 26936036 33670045 40404054 67340090 80808108 101010135 134680180 202020270 404040540