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404241420 = 223511797753
BaseRepresentation
bin11000000110000…
…011110000001100
31001011122120222110
4120012003300030
51311441211140
6104040144020
713005665262
oct3006036014
91034576873
10404241420
11198202620
12b3468010
136599800b
143b98a432
1525750380
hex18183c0c

404241420 has 96 divisors (see below), whose sum is σ = 1250565120. Its totient is φ = 96744960.

The previous prime is 404241403. The next prime is 404241421. The reversal of 404241420 is 24142404.

It is a super-2 number, since 2×4042414202 = 326822251287232800, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (404241421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48264 + ... + 56016.

It is an arithmetic number, because the mean of its divisors is an integer number (13026720).

Almost surely, 2404241420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625282560).

404241420 is an abundant number, since it is smaller than the sum of its proper divisors (846323700).

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

404241420 is a wasteful number, since it uses less digits than its factorization.

404241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404241420 is about 20105.7558922812. The cubic root of 404241420 is about 739.4014029386.

Adding to 404241420 its reverse (24142404), we get a palindrome (428383824).

The spelling of 404241420 in words is "four hundred four million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 7753 8690 10428 13035 15506 17380 23259 26070 31012 38765 46518 52140 77530 85283 93036 116295 155060 170566 232590 255849 341132 426415 465180 511698 612487 852830 1023396 1224974 1279245 1705660 1837461 2449948 2558490 3062435 3674922 5116980 6124870 6737357 7349844 9187305 12249740 13474714 18374610 20212071 26949428 33686785 36749220 40424142 67373570 80848284 101060355 134747140 202120710 404241420