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1420188120 = 2333513231251
BaseRepresentation
bin101010010100110…
…0101100111011000
310122222100000212000
41110221211213120
510402032004440
6352531321000
750123254101
oct12451454730
93588300760
101420188120
1166972839a
12337750160
131982c9700
14d68893a8
1584a31730
hex54a659d8

1420188120 has 384 divisors, whose sum is σ = 5312563200. Its totient is φ = 336960000.

The previous prime is 1420188071. The next prime is 1420188137. The reversal of 1420188120 is 218810241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5657995 + ... + 5658245.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 21420188120 is an apocalyptic number.

1420188120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420188120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656281600).

1420188120 is an abundant number, since it is smaller than the sum of its proper divisors (3892375080).

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

1420188120 is a wasteful number, since it uses less digits than its factorization.

1420188120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1420188120 is about 37685.3833733982. The cubic root of 1420188120 is about 1124.0404974369.

Adding to 1420188120 its reverse (218810241), we get a palindrome (1638998361).

The spelling of 1420188120 in words is "one billion, four hundred twenty million, one hundred eighty-eight thousand, one hundred twenty".