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420100362 = 2321117137911
BaseRepresentation
bin11001000010100…
…011100100001010
31002021111022100200
4121002203210022
51330021202422
6105404113030
713260536253
oct3102434412
91067438320
10420100362
111a6154690
12b8835776
136905b5c6
143db17b2a
1526d342ac
hex190a390a

420100362 has 96 divisors (see below), whose sum is σ = 1060210944. Its totient is φ = 118809600.

The previous prime is 420100361. The next prime is 420100399. The reversal of 420100362 is 263001024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420100361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460687 + ... + 461597.

It is an arithmetic number, because the mean of its divisors is an integer number (11043864).

Almost surely, 2420100362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420100362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530105472).

420100362 is an abundant number, since it is smaller than the sum of its proper divisors (640110582).

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

420100362 is a wasteful number, since it uses less digits than its factorization.

420100362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420100362 is about 20496.3499677382. The cubic root of 420100362 is about 748.9468846228.

Adding to 420100362 its reverse (263001024), we get a palindrome (683101386).

The spelling of 420100362 in words is "four hundred twenty million, one hundred thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 137 153 187 198 274 306 374 411 561 822 911 1122 1233 1507 1683 1822 2329 2466 2733 3014 3366 4521 4658 5466 6987 8199 9042 10021 13563 13974 15487 16398 20042 20961 25619 27126 30063 30974 41922 46461 51238 60126 76857 90189 92922 124807 139383 153714 170357 180378 230571 249614 278766 340714 374421 461142 511071 748842 1022142 1123263 1372877 1533213 2121719 2246526 2745754 3066426 4118631 4243438 6365157 8237262 12355893 12730314 19095471 23338909 24711786 38190942 46677818 70016727 140033454 210050181 420100362