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455105420 = 225711319533
BaseRepresentation
bin11011001000000…
…101101110001100
31011201100202021022
4123020011232030
51413001333140
6113054253312
714164221650
oct3310055614
91151322238
10455105420
11213993490
121084b7238
1373396763
144462aa60
1529e4b0b5
hex1b205b8c

455105420 has 96 divisors (see below), whose sum is σ = 1230114816. Its totient is φ = 137260800.

The previous prime is 455105407. The next prime is 455105437. The reversal of 455105420 is 24501554.

It is a self number, because there is not a number n which added to its sum of digits gives 455105420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42974 + ... + 52506.

It is an arithmetic number, because the mean of its divisors is an integer number (12813696).

Almost surely, 2455105420 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 455105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615057408).

455105420 is an abundant number, since it is smaller than the sum of its proper divisors (775009396).

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

455105420 is a wasteful number, since it uses less digits than its factorization.

455105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 455105420 is about 21333.1999474997. The cubic root of 455105420 is about 769.1965645663.

Adding to 455105420 its reverse (24501554), we get a palindrome (479606974).

The spelling of 455105420 in words is "four hundred fifty-five million, one hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4340 4774 6820 9533 9548 11935 19066 23870 38132 47665 47740 66731 95330 104863 133462 190660 209726 266924 295523 333655 419452 524315 591046 667310 734041 1048630 1182092 1334620 1468082 1477615 2068661 2097260 2936164 2955230 3250753 3670205 4137322 5910460 6501506 7340410 8274644 10343305 13003012 14680820 16253765 20686610 22755271 32507530 41373220 45510542 65015060 91021084 113776355 227552710 455105420