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420444010 = 25723189311
BaseRepresentation
bin11001000011110…
…111011101101010
31002022010202202101
4121003313131222
51330113202020
6105415324014
713263500200
oct3103673552
91068122671
10420444010
111a6369898
12b898060a
136914bb4c
143dba7070
1526da100a
hex190f776a

420444010 has 96 divisors (see below), whose sum is σ = 921922560. Its totient is φ = 137491200.

The previous prime is 420444007. The next prime is 420444023. The reversal of 420444010 is 10444024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351755 + ... + 1352065.

It is an arithmetic number, because the mean of its divisors is an integer number (9603360).

Almost surely, 2420444010 is an apocalyptic number.

420444010 is an abundant number, since it is smaller than the sum of its proper divisors (501478550).

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

420444010 is a wasteful number, since it uses less digits than its factorization.

420444010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 420444010 is about 20504.7314052147. The cubic root of 420444010 is about 749.1510453231.

Adding to 420444010 its reverse (10444024), we get a palindrome (430888034).

The spelling of 420444010 in words is "four hundred twenty million, four hundred forty-four thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 89 98 155 178 217 245 310 311 434 445 490 622 623 890 1085 1246 1519 1555 2170 2177 2759 3038 3110 3115 4354 4361 5518 6230 7595 8722 9641 10885 13795 15190 15239 19282 19313 21770 21805 27590 27679 30478 38626 43610 48205 55358 67487 76195 96410 96565 134974 135191 138395 152390 193130 193753 270382 276790 337435 387506 472409 674870 675955 858049 944818 968765 1351910 1356271 1716098 1937530 2362045 2712542 4290245 4724090 6006343 6781355 8580490 12012686 13562710 30031715 42044401 60063430 84088802 210222005 420444010