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410027420 = 225111726449
BaseRepresentation
bin11000011100001…
…000010110011100
31001120112112212202
4120130020112130
51314431334140
6104404151032
713106114135
oct3034102634
91046475782
10410027420
111a04a4740
12b5398478
1366c4279a
143c654c8c
1525ee4915
hex1870859c

410027420 has 72 divisors (see below), whose sum is σ = 997995600. Its totient is φ = 140308480.

The previous prime is 410027413. The next prime is 410027441. The reversal of 410027420 is 24720014.

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 = 410027392 and 410027401.

It is a congruent number.

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, 60356 + ... + 66804.

It is an arithmetic number, because the mean of its divisors is an integer number (13861050).

Almost surely, 2410027420 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 410027420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498997800).

410027420 is an abundant number, since it is smaller than the sum of its proper divisors (587968180).

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

410027420 is a wasteful number, since it uses less digits than its factorization.

410027420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 410027420 is about 20249.1338086349. The cubic root of 410027420 is about 742.9124449179.

Adding to 410027420 its reverse (24720014), we get a palindrome (434747434).

The spelling of 410027420 in words is "four hundred ten million, twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 5780 6358 6449 12716 12898 15895 25796 31790 32245 63580 64490 70939 109633 128980 141878 219266 283756 354695 438532 548165 709390 1096330 1205963 1418780 1863761 2192660 2411926 3727522 4823852 6029815 7455044 9318805 12059630 18637610 20501371 24119260 37275220 41002742 82005484 102506855 205013710 410027420