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4120107420 = 223511131747601
BaseRepresentation
bin1111010110010011…
…1101100110011100
3101122010201010212010
43311210331212130
531414221414140
61520500111220
7204046222662
oct36544754634
911563633763
104120107420
111824769760
1296b995510
135087854b0
142b129ac32
15191a9c880
hexf593d99c

4120107420 has 384 divisors, whose sum is σ = 14680092672. Its totient is φ = 847872000.

The previous prime is 4120107419. The next prime is 4120107463. The reversal of 4120107420 is 247010214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6855120 + ... + 6855720.

It is an arithmetic number, because the mean of its divisors is an integer number (38229408).

Almost surely, 24120107420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120107420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340046336).

4120107420 is an abundant number, since it is smaller than the sum of its proper divisors (10559985252).

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

4120107420 is a wasteful number, since it uses less digits than its factorization.

4120107420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4120107420 is about 64188.0629089241. The cubic root of 4120107420 is about 1603.1328487622.

Adding to 4120107420 its reverse (247010214), we get a palindrome (4367117634).

The spelling of 4120107420 in words is "four billion, one hundred twenty million, one hundred seven thousand, four hundred twenty".