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2142341460 = 2237576997
BaseRepresentation
bin111111110110001…
…1000100101010100
312112022012020000000
41333230120211110
513341414411320
6552325451300
7104042413320
oct17754304524
95468166000
102142341460
119aa328936
124b9570b30
13281ac438c
1416474c980
15c812cc90
hex7fb18954

2142341460 has 192 divisors, whose sum is σ = 7712355840. Its totient is φ = 489608064.

The previous prime is 2142341441. The next prime is 2142341483. The reversal of 2142341460 is 641432412.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302682 + ... + 309678.

It is an arithmetic number, because the mean of its divisors is an integer number (40168520).

Almost surely, 22142341460 is an apocalyptic number.

2142341460 is a gapful number since it is divisible by the number (20) 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 2142341460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856177920).

2142341460 is an abundant number, since it is smaller than the sum of its proper divisors (5570014380).

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

2142341460 is an equidigital number, since it uses as much as digits as its factorization.

2142341460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2142341460 is about 46285.4346420124. The cubic root of 2142341460 is about 1289.1285623400.

Adding to 2142341460 its reverse (641432412), we get a palindrome (2783773872).

The spelling of 2142341460 in words is "two billion, one hundred forty-two million, three hundred forty-one thousand, four hundred sixty".