Search a number
-
+
404124240 = 243513129527
BaseRepresentation
bin11000000101100…
…111001001010000
31001011102122020110
4120011213021100
51311423433430
6104033441320
713004666532
oct3005471120
91034378213
10404124240
11198132583
12b3410240
1365956890
143b959852
152572a7b0
hex18167250

404124240 has 80 divisors (see below), whose sum is σ = 1349163648. Its totient is φ = 99475968.

The previous prime is 404124233. The next prime is 404124257. The reversal of 404124240 is 42421404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61644 + ... + 67883.

Almost surely, 2404124240 is an apocalyptic number.

404124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404124240 is an abundant number, since it is smaller than the sum of its proper divisors (945039408).

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

404124240 is a wasteful number, since it uses less digits than its factorization.

404124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129556 (or 129550 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404124240 is about 20102.8415901832. The cubic root of 404124240 is about 739.3299510575.

Adding to 404124240 its reverse (42421404), we get a palindrome (446545644).

The spelling of 404124240 in words is "four hundred four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 129527 259054 388581 518108 647635 777162 1036216 1295270 1554324 1683851 1942905 2072432 2590540 3108648 3367702 3885810 5051553 5181080 6217296 6735404 7771620 8419255 10103106 10362160 13470808 15543240 16838510 20206212 25257765 26941616 31086480 33677020 40412424 50515530 67354040 80824848 101031060 134708080 202062120 404124240