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404020680 = 23357268711
BaseRepresentation
bin11000000101001…
…101110111001000
31001011020101011220
4120011031313020
51311412130210
6104031322040
713004055600
oct3005156710
91034211156
10404020680
11198071798
12b3380320
136591b6bb
143b92dc00
1525709c70
hex1814ddc8

404020680 has 96 divisors (see below), whose sum is σ = 1409970240. Its totient is φ = 92346240.

The previous prime is 404020651. The next prime is 404020699. The reversal of 404020680 is 86020404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404020680.

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 23 ways as a sum of consecutive naturals, for example, 28476 + ... + 40235.

It is an arithmetic number, because the mean of its divisors is an integer number (14687190).

Almost surely, 2404020680 is an apocalyptic number.

404020680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404020680 is an abundant number, since it is smaller than the sum of its proper divisors (1005949560).

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

404020680 is a wasteful number, since it uses less digits than its factorization.

404020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68739 (or 68728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404020680 is about 20100.2656698861. The cubic root of 404020680 is about 739.2667926331.

The spelling of 404020680 in words is "four hundred four million, twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 68711 137422 206133 274844 343555 412266 480977 549688 687110 824532 961954 1030665 1374220 1442931 1649064 1923908 2061330 2404885 2748440 2885862 3366839 3847816 4122660 4809770 5771724 6733678 7214655 8245320 9619540 10100517 11543448 13467356 14429310 16834195 19239080 20201034 26934712 28858620 33668390 40402068 50502585 57717240 67336780 80804136 101005170 134673560 202010340 404020680