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404392680 = 233253073659
BaseRepresentation
bin11000000110101…
…000101011101000
31001011221021110200
4120012220223220
51312011031210
6104043312200
713010165256
oct3006505350
91034837420
10404392680
111982a622a
12b351b660
1365a1bb13
143b9c95d6
15257800c0
hex181a8ae8

404392680 has 96 divisors (see below), whose sum is σ = 1318917600. Its totient is φ = 107457408.

The previous prime is 404392673. The next prime is 404392691. The reversal of 404392680 is 86293404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108691 + ... + 112349.

It is an arithmetic number, because the mean of its divisors is an integer number (13738725).

Almost surely, 2404392680 is an apocalyptic number.

404392680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404392680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659458800).

404392680 is an abundant number, since it is smaller than the sum of its proper divisors (914524920).

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

404392680 is a wasteful number, since it uses less digits than its factorization.

404392680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404392680 is about 20109.5171498472. The cubic root of 404392680 is about 739.4936150869.

The spelling of 404392680 in words is "four hundred four million, three hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 921 1228 1535 1842 2456 2763 3070 3659 3684 4605 5526 6140 7318 7368 9210 10977 11052 12280 13815 14636 18295 18420 21954 22104 27630 29272 32931 36590 36840 43908 54885 55260 65862 73180 87816 109770 110520 131724 146360 164655 219540 263448 329310 439080 658620 1123313 1317240 2246626 3369939 4493252 5616565 6739878 8986504 10109817 11233130 13479756 16849695 20219634 22466260 26959512 33699390 40439268 44932520 50549085 67398780 80878536 101098170 134797560 202196340 404392680