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420050007 = 321322989107
BaseRepresentation
bin11001000010010…
…111010001010111
31002021101202021200
4121002113101113
51330013100012
6105403043543
713260236406
oct3102272127
91067352250
10420050007
111a611a873
12b88105b3
1369041700
143db0363d
1526d243dc
hex19097457

420050007 has 72 divisors (see below), whose sum is σ = 693716400. Its totient is φ = 244468224.

The previous prime is 420050003. The next prime is 420050047. The reversal of 420050007 is 700050024.

It is a happy number.

It is not a de Polignac number, because 420050007 - 22 = 420050003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420050003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3925648 + ... + 3925754.

It is an arithmetic number, because the mean of its divisors is an integer number (9634950).

Almost surely, 2420050007 is an apocalyptic number.

420050007 is a deficient number, since it is larger than the sum of its proper divisors (273666393).

420050007 is a wasteful number, since it uses less digits than its factorization.

420050007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 420050007 is about 20495.1215414791. The cubic root of 420050007 is about 748.9169594504.

The spelling of 420050007 in words is "four hundred twenty million, fifty thousand, seven".

Divisors: 1 3 9 13 29 39 87 89 107 117 169 261 267 321 377 507 801 963 1131 1157 1391 1521 2581 3103 3393 3471 4173 4901 7743 9309 9523 10413 12519 14703 15041 18083 23229 27927 28569 33553 40339 44109 45123 54249 85707 100659 121017 123799 135369 162747 276167 301977 363051 371397 436189 524407 828501 1114191 1308567 1573221 1609387 2485503 3590171 3925701 4719663 4828161 10770513 14484483 32311539 46672223 140016669 420050007