Search a number
-
+
404028680 = 23511283477
BaseRepresentation
bin11000000101001…
…111110100001000
31001011020210011012
4120011033310020
51311412404210
6104031423052
713004121116
oct3005176410
91034223135
10404028680
11198077800
12b3384a88
1365922233
143b932ab6
152570c305
hex1814fd08

404028680 has 48 divisors (see below), whose sum is σ = 999231660. Its totient is φ = 146917760.

The previous prime is 404028661. The next prime is 404028689. The reversal of 404028680 is 86820404.

It can be written as a sum of positive squares in 2 ways, for example, as 391169284 + 12859396 = 19778^2 + 3586^2 .

It is not an unprimeable number, because it can be changed into a prime (404028689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36899 + ... + 46578.

Almost surely, 2404028680 is an apocalyptic number.

404028680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404028680 is an abundant number, since it is smaller than the sum of its proper divisors (595202980).

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

404028680 is a wasteful number, since it uses less digits than its factorization.

404028680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83510 (or 83495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 404028680 is about 20100.4646712458. The cubic root of 404028680 is about 739.2716719999.

The spelling of 404028680 in words is "four hundred four million, twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 83477 166954 333908 417385 667816 834770 918247 1669540 1836494 3339080 3672988 4591235 7345976 9182470 10100717 18364940 20201434 36729880 40402868 50503585 80805736 101007170 202014340 404028680