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4200002420 = 225621133811
BaseRepresentation
bin1111101001010110…
…1111001101110100
3101211201001020012012
43322111233031310
532100200034140
61532432343352
7206036301005
oct37225571564
911751036165
104200002420
111865878a89
129926a4b58
1351c1a9b43
142bbb371ac
15198ad0265
hexfa56f374

4200002420 has 24 divisors (see below), whose sum is σ = 8821686048. Its totient is φ = 1679680800.

The previous prime is 4200002407. The next prime is 4200002449. The reversal of 4200002420 is 242000024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4200002395 and 4200002404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107315 + ... + 141125.

It is an arithmetic number, because the mean of its divisors is an integer number (367570252).

Almost surely, 24200002420 is an apocalyptic number.

It is an amenable number.

4200002420 is an abundant number, since it is smaller than the sum of its proper divisors (4621683628).

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

4200002420 is a wasteful number, since it uses less digits than its factorization.

4200002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40031 (or 40029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4200002420 is about 64807.4256547813. The cubic root of 4200002420 is about 1613.4289559052.

Adding to 4200002420 its reverse (242000024), we get a palindrome (4442002444).

The spelling of 4200002420 in words is "four billion, two hundred million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6211 12422 24844 31055 33811 62110 67622 124220 135244 169055 338110 676220 210000121 420000242 840000484 1050000605 2100001210 4200002420