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404148420 = 223351357571
BaseRepresentation
bin11000000101101…
…101000011000100
31001011110212102000
4120011231003010
51311430222140
6104034145300
713005130164
oct3005550304
91034425360
10404148420
11198149765
12b3422230
13659648a0
143b9645a4
1525732a30
hex1816d0c4

404148420 has 96 divisors (see below), whose sum is σ = 1354093440. Its totient is φ = 99480960.

The previous prime is 404148419. The next prime is 404148421. The reversal of 404148420 is 24841404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404148419) and next prime (404148421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (404148421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21766 + ... + 35805.

It is an arithmetic number, because the mean of its divisors is an integer number (14105140).

Almost surely, 2404148420 is an apocalyptic number.

It is an amenable number.

404148420 is an abundant number, since it is smaller than the sum of its proper divisors (949945020).

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

404148420 is a wasteful number, since it uses less digits than its factorization.

404148420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57602 (or 57594 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 404148420 is about 20103.4429887022. The cubic root of 404148420 is about 739.3446962273.

Adding to 404148420 its reverse (24841404), we get a palindrome (428989824).

The spelling of 404148420 in words is "four hundred four million, one hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 57571 115142 172713 230284 287855 345426 518139 575710 690852 748423 863565 1036278 1151420 1496846 1554417 1727130 2072556 2245269 2590695 2993692 3108834 3454260 3742115 4490538 5181390 6217668 6735807 7484230 7772085 8981076 10362780 11226345 13471614 14968460 15544170 20207421 22452690 26943228 31088340 33679035 40414842 44905380 67358070 80829684 101037105 134716140 202074210 404148420