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420422100 = 223527200201
BaseRepresentation
bin11001000011110…
…010000111010100
31002022002122200220
4121003302013110
51330112001400
6105415034340
713263346260
oct3103620724
91068078626
10420422100
111a635438a
12b896b9b0
1369141b97
143db9d0a0
1526d997a0
hex190f21d4

420422100 has 72 divisors (see below), whose sum is σ = 1390202688. Its totient is φ = 96096000.

The previous prime is 420422089. The next prime is 420422113. The reversal of 420422100 is 1224024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420422100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 98001 + ... + 102200.

Almost surely, 2420422100 is an apocalyptic number.

It is an amenable number.

420422100 is an abundant number, since it is smaller than the sum of its proper divisors (969780588).

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

420422100 is a wasteful number, since it uses less digits than its factorization.

420422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200225 (or 200218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420422100 is about 20504.1971313192. The cubic root of 420422100 is about 749.1380319498.

Adding to 420422100 its reverse (1224024), we get a palindrome (421646124).

The spelling of 420422100 in words is "four hundred twenty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 200201 400402 600603 800804 1001005 1201206 1401407 2002010 2402412 2802814 3003015 4004020 4204221 5005025 5605628 6006030 7007035 8408442 10010050 12012060 14014070 15015075 16816884 20020100 21021105 28028140 30030150 35035175 42042210 60060300 70070350 84084420 105105525 140140700 210211050 420422100