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404007680 = 285315631
BaseRepresentation
bin11000000101001…
…010101100000000
31001011012201100102
4120011022230000
51311411221210
6104031141532
713004002646
oct3005125400
91034181312
10404007680
11198062a4a
12b33748a8
13659157cb
143b929196
1525705ea5
hex1814ab00

404007680 has 36 divisors (see below), whose sum is σ = 967727712. Its totient is φ = 161602560.

The previous prime is 404007649. The next prime is 404007683. The reversal of 404007680 is 86700404.

It is not an unprimeable number, because it can be changed into a prime (404007683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156536 + ... + 159095.

Almost surely, 2404007680 is an apocalyptic number.

404007680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404007680 is an abundant number, since it is smaller than the sum of its proper divisors (563720032).

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

404007680 is an equidigital number, since it uses as much as digits as its factorization.

404007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315652 (or 315638 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 404007680 is about 20099.9422884744. The cubic root of 404007680 is about 739.2588635246.

The spelling of 404007680 in words is "four hundred four million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 315631 631262 1262524 1578155 2525048 3156310 5050096 6312620 10100192 12625240 20200384 25250480 40400768 50500960 80801536 101001920 202003840 404007680