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412443020 = 2251121311301
BaseRepresentation
bin11000100101010…
…110000110001100
31001202002021110102
4120211112012030
51321041134040
6104532030232
713135464533
oct3045260614
91052067412
10412443020
111a18a4600
12b6162378
13675aa132
143cac331a
1526320515
hex1895618c

412443020 has 72 divisors (see below), whose sum is σ = 960032304. Its totient is φ = 148720000.

The previous prime is 412443011. The next prime is 412443037. The reversal of 412443020 is 20344214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412442983 and 412443001.

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, 316370 + ... + 317670.

It is an arithmetic number, because the mean of its divisors is an integer number (13333782).

Almost surely, 2412443020 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 412443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480016152).

412443020 is an abundant number, since it is smaller than the sum of its proper divisors (547589284).

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

412443020 is a wasteful number, since it uses less digits than its factorization.

412443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 412443020 is about 20308.6932125137. The cubic root of 412443020 is about 744.3684992863.

Adding to 412443020 its reverse (20344214), we get a palindrome (432787234).

The spelling of 412443020 in words is "four hundred twelve million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 131 220 242 262 484 524 605 655 1210 1301 1310 1441 2420 2602 2620 2882 5204 5764 6505 7205 13010 14311 14410 15851 26020 28622 28820 31702 57244 63404 71555 79255 143110 157421 158510 170431 286220 314842 317020 340862 629684 681724 787105 852155 1574210 1704310 1874741 3148420 3408620 3749482 7498964 9373705 18747410 20622151 37494820 41244302 82488604 103110755 206221510 412443020